Pith Number

pith:JG3YUQID

pith:2024:JG3YUQIDHOKB6P4QRM3N2WDIK4

not attested not anchored not stored refs pending

Non-representable six-functor formalisms

Alessandro D'Angelo, Chirantan Chowdhury

arxiv:2409.20382 v2 · 2024-09-30 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JG3YUQIDHOKB6P4QRM3N2WDIK4}

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

1 paper in Pith

Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity

Receipt and verification

First computed	2026-07-05T10:02:06.866767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b78a41033b941f3f908b36dd5868572faf5b94ed43ac0ba66106fa92cdcc54

Aliases

arxiv: 2409.20382 · arxiv_version: 2409.20382v2 · doi: 10.48550/arxiv.2409.20382 · pith_short_12: JG3YUQIDHOKB · pith_short_16: JG3YUQIDHOKB6P4Q · pith_short_8: JG3YUQID

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/JG3YUQIDHOKB6P4QRM3N2WDIK4 \
  | 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: 49b78a41033b941f3f908b36dd5868572faf5b94ed43ac0ba66106fa92cdcc54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "480499d0acd08505b046eae20f5338c7449b0b3df0424fb37823d46b20ff8393",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-09-30T15:18:15Z",
    "title_canon_sha256": "0ac1f3c32835aead0cc1d92919186c43ff46b190f688479f2b3dff9e6e1115f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.20382",
    "kind": "arxiv",
    "version": 2
  }
}