Pith Number

pith:YNZYZSNJ

pith:2009:YNZYZSNJRBMGP5MLALKSXSRQVN

not attested not anchored not stored refs pending

Proof of Swiss Cheese Version of Deligne's Conjecture

Boris Tsygan, Dmitry Tamarkin, Vasiliy Dolgushev

arxiv:0904.2753 v3 · 2009-04-17 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNZYZSNJRBMGP5MLALKSXSRQVN}

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	2026-05-18T04:32:43.748722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3738cc9a9885867f58b02d52bca30ab4d916d550551d4acdf8a350e8c0d65a1

Aliases

arxiv: 0904.2753 · arxiv_version: 0904.2753v3 · doi: 10.48550/arxiv.0904.2753 · pith_short_12: YNZYZSNJRBMG · pith_short_16: YNZYZSNJRBMGP5ML · pith_short_8: YNZYZSNJ

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/YNZYZSNJRBMGP5MLALKSXSRQVN \
  | 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: c3738cc9a9885867f58b02d52bca30ab4d916d550551d4acdf8a350e8c0d65a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b8c20b6b851913e75004ef416707ca0409d21b56f118ca7a1fb90f078b2a94",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-04-17T17:54:32Z",
    "title_canon_sha256": "6304e228dc9fd10b5c6520f59749be841eea1db9c169b5cb646839df12c5b74e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2753",
    "kind": "arxiv",
    "version": 3
  }
}