Pith Number

pith:DSMT7XB4

pith:2007:DSMT7XB4UQL2S6G2DNQD4UMHTJ

not attested not anchored not stored refs pending

On the subdivision of small categories

Matias Luis del Hoyo

arxiv:0707.1718 v2 · 2007-07-11 · 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{DSMT7XB4UQL2S6G2DNQD4UMHTJ}

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	2026-05-18T00:11:19.838907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c993fdc3ca417a978da1b603e51879a64a0c5168eae7c9bbe9ab913c47186ed

Aliases

arxiv: 0707.1718 · arxiv_version: 0707.1718v2 · doi: 10.48550/arxiv.0707.1718 · pith_short_12: DSMT7XB4UQL2 · pith_short_16: DSMT7XB4UQL2S6G2 · pith_short_8: DSMT7XB4

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/DSMT7XB4UQL2S6G2DNQD4UMHTJ \
  | 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: 1c993fdc3ca417a978da1b603e51879a64a0c5168eae7c9bbe9ab913c47186ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e44fd37871ea549a1534eb4e2b224472791d7cbec17e3de90c458c3ffd4c0ef3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-07-11T23:08:06Z",
    "title_canon_sha256": "a08c87a6e97d40623f71deef165fbfff172ba6ffe20e1579965c951ff3d5d05b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1718",
    "kind": "arxiv",
    "version": 2
  }
}