Pith Number

pith:YN7FTRXT

pith:2026:YN7FTRXTSPIOLFC6KW6AG7C3B6

not attested not anchored not stored refs pending

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

Chirantan Chowdhury

arxiv:2608.09726 v1 · 2026-08-10 · 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{YN7FTRXTSPIOLFC6KW6AG7C3B6}

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.

Receipt and verification

First computed	2026-08-11T02:24:53.584821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c37e59c6f393d0e5945e55bc037c5b0fa2e931e6c1aa442f8a9032941fa84c3d

Aliases

arxiv: 2608.09726 · arxiv_version: 2608.09726v1 · doi: 10.48550/arxiv.2608.09726 · pith_short_12: YN7FTRXTSPIO · pith_short_16: YN7FTRXTSPIOLFC6 · pith_short_8: YN7FTRXT

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/YN7FTRXTSPIOLFC6KW6AG7C3B6 \
  | 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: c37e59c6f393d0e5945e55bc037c5b0fa2e931e6c1aa442f8a9032941fa84c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b1f8dff471cea6a635bdc8941b33de060a36082414e1c987982ca00d21a7432",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-10T15:26:09Z",
    "title_canon_sha256": "bed832e5adb5275bb0335a8636aaf3d1ed0fecbdfcf966f850311f3b6622c944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09726",
    "kind": "arxiv",
    "version": 1
  }
}