Pith Number

pith:DYRJGKY4

pith:2025:DYRJGKY46OBNCKMRIASQ4EKDBG

not attested not anchored not stored refs pending

Continuous six-functor formalism on locally compact Hausdorff spaces

Qingchong Zhu

arxiv:2507.13537 v2 · 2025-07-17 · math.KT · math.AT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYRJGKY46OBNCKMRIASQ4EKDBG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

A characterization of sheaves among six functor formalisms on $\mathrm{LCH}$

$E$-theory of $X$-$C^{*}$-algebras and functor formalisms

The Localization Theorem for the Motivic Homotopy Theory of Complex Analytic Stacks and other Geometric Settings

Receipt and verification

First computed	2026-07-05T11:53:05.404719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e22932b1cf382d1299140250e114309b32747b90929ae1b187da213e02b09bc

Aliases

arxiv: 2507.13537 · arxiv_version: 2507.13537v2 · doi: 10.48550/arxiv.2507.13537 · pith_short_12: DYRJGKY46OBN · pith_short_16: DYRJGKY46OBNCKMR · pith_short_8: DYRJGKY4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DYRJGKY46OBNCKMRIASQ4EKDBG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1e22932b1cf382d1299140250e114309b32747b90929ae1b187da213e02b09bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7405e2dee7d931fe0b222661f63a5f41932d9c8f135dacc3ef0f906f0cb59ff",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-07-17T21:11:05Z",
    "title_canon_sha256": "03cb96c9304bbca1e00e9b3ea08b4efbd184c21ebb9be2f22bfd403e7dc324a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13537",
    "kind": "arxiv",
    "version": 2
  }
}