Pith Number

pith:YNWPVPGF

pith:2013:YNWPVPGF5WSUGHT2T3Z5XDXNUK

not attested not anchored not stored refs pending

Gelfand spectra in Grothendieck toposes using geometric mathematics

Bas Spitters (Universit\'e Paris-Sud/INRIA Saclay), IMAPP), Sander Wolters (Radboud University Nijmegen, Steven Vickers (School of Computer Science, University of Birmingham)

arxiv:1310.0705 v2 · 2013-10-02 · math.CT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNWPVPGF5WSUGHT2T3Z5XDXNUK}

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	2026-05-18T02:46:04.583645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36cfabcc5eda5431e7a9ef3db8eeda29aeb40e30e64fdc20f949fd9ed56392d

Aliases

arxiv: 1310.0705 · arxiv_version: 1310.0705v2 · doi: 10.48550/arxiv.1310.0705 · pith_short_12: YNWPVPGF5WSU · pith_short_16: YNWPVPGF5WSUGHT2 · pith_short_8: YNWPVPGF

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/YNWPVPGF5WSUGHT2T3Z5XDXNUK \
  | 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: c36cfabcc5eda5431e7a9ef3db8eeda29aeb40e30e64fdc20f949fd9ed56392d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fdb241dd5feb5887307b7608c66ddf6f1b5a1ed10ce46cfe96cad4acb425eed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-10-02T13:50:28Z",
    "title_canon_sha256": "23a9710ba5137775be0ba733221f870ecbea8204df0dec7b0dbfba861e4694c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0705",
    "kind": "arxiv",
    "version": 2
  }
}