Pith Number

pith:WNN2OOZZ

pith:2024:WNN2OOZZPPXDQSLLL56QA2YL4Z

not attested not anchored not stored refs pending

Six-Functor Formalisms III: The construction and extension of 6FFs

Chirantan Chowdhury

arxiv:2412.20548 v2 · 2024-12-29 · 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{WNN2OOZZPPXDQSLLL56QA2YL4Z}

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	2026-07-05T10:07:47.328928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b35ba73b397bee38496b5f7d006b0be65d7a15a4d890e908eda39ae36d8d7d6a

Aliases

arxiv: 2412.20548 · arxiv_version: 2412.20548v2 · doi: 10.48550/arxiv.2412.20548 · pith_short_12: WNN2OOZZPPXD · pith_short_16: WNN2OOZZPPXDQSLL · pith_short_8: WNN2OOZZ

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/WNN2OOZZPPXDQSLLL56QA2YL4Z \
  | 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: b35ba73b397bee38496b5f7d006b0be65d7a15a4d890e908eda39ae36d8d7d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ea30e2f8d8e2d622fb508881512ed3e21ae401b4bb795e925e31538b2cabf68",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-29T18:38:16Z",
    "title_canon_sha256": "5a318df3a04ec26839dd514ef046c346171c09361eccfb983594b889b411034e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20548",
    "kind": "arxiv",
    "version": 2
  }
}