Pith Number

pith:5YIXRA5P

pith:2008:5YIXRA5PZMWSPBGVBUHNX3CUNK

not attested not anchored not stored refs pending

Extending the Ehresmann-Schein-Nambooripad Theorem

Christopher Hollings

arxiv:0804.4702 v3 · 2008-04-29 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YIXRA5PZMWSPBGVBUHNX3CUNK}

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	2026-07-04T17:24:07.532700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee117883afcb2d2784d50d0edbec546a85dd4a75d4dee32cc2ed4e01f0367e9b

Aliases

arxiv: 0804.4702 · arxiv_version: 0804.4702v3 · doi: 10.48550/arxiv.0804.4702 · pith_short_12: 5YIXRA5PZMWS · pith_short_16: 5YIXRA5PZMWSPBGV · pith_short_8: 5YIXRA5P

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/5YIXRA5PZMWSPBGVBUHNX3CUNK \
  | 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: ee117883afcb2d2784d50d0edbec546a85dd4a75d4dee32cc2ed4e01f0367e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c6734a3a1dcfd2c64c4f212e8485d8ffa6b5d3a69c73b561f46563078a999ae",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-04-29T22:18:23Z",
    "title_canon_sha256": "f87199ea3c12087aa839a077b038abc8ae6b1b2f03529ac3c28557486f78eeef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4702",
    "kind": "arxiv",
    "version": 3
  }
}