Pith Number

pith:4TCWXJAT

pith:2013:4TCWXJAT4MPTUM3APUZYO5ZNR3

not attested not anchored not stored refs pending

On the endomorphisms of some sheaves of functions

Patrice P. Ntumba

arxiv:1302.5506 v1 · 2013-02-22 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TCWXJAT4MPTUM3APUZYO5ZNR3}

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	2026-05-18T03:32:46.556702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c56ba413e31f3a33607d3387772d8ecbfce30c7605d8175196beddba56cef0

Aliases

arxiv: 1302.5506 · arxiv_version: 1302.5506v1 · doi: 10.48550/arxiv.1302.5506 · pith_short_12: 4TCWXJAT4MPT · pith_short_16: 4TCWXJAT4MPTUM3A · pith_short_8: 4TCWXJAT

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/4TCWXJAT4MPTUM3APUZYO5ZNR3 \
  | 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: e4c56ba413e31f3a33607d3387772d8ecbfce30c7605d8175196beddba56cef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09bca76e88de3884252a6fa9ae2220ff20662a23e03b3d5383e1deaba5a457be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-22T07:55:34Z",
    "title_canon_sha256": "7492640847d1483eed74ba0705b652ba7477fc070030dcae2741a6119b869a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5506",
    "kind": "arxiv",
    "version": 1
  }
}