Pith Number

pith:E22N4OJV

pith:2015:E22N4OJVKL6UTZNMRI22XCXFKG

not attested not anchored not stored refs pending

Singular chains on topological stacks

Behrang Noohi, Thomas Coyne

arxiv:1502.04995 v2 · 2015-02-17 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E22N4OJVKL6UTZNMRI22XCXFKG}

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	2026-05-18T01:07:21.245993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b4de393552fd49e5ac8a35ab8ae551acd77748a01b77446b6bd91c9ba5db83

Aliases

arxiv: 1502.04995 · arxiv_version: 1502.04995v2 · doi: 10.48550/arxiv.1502.04995 · pith_short_12: E22N4OJVKL6U · pith_short_16: E22N4OJVKL6UTZNM · pith_short_8: E22N4OJV

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/E22N4OJVKL6UTZNMRI22XCXFKG \
  | 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: 26b4de393552fd49e5ac8a35ab8ae551acd77748a01b77446b6bd91c9ba5db83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ebd109f32025589bbf0101e39d6fccb3181a51695743139ce8bc6b03773537",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-02-17T18:45:27Z",
    "title_canon_sha256": "e4bb32e9862e95250900eef4a25c8b9654da205603b7c0f8210b3b6931e476ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04995",
    "kind": "arxiv",
    "version": 2
  }
}