Pith Number

pith:UVBUJ4E3

pith:2007:UVBUJ4E37HXDYEGBYWYPXKK4GE

not attested not anchored not stored refs pending

Rotation set for maps of degree 1 on the graph sigma

Sylvie Ruette

arxiv:0712.3815 v2 · 2007-12-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UVBUJ4E37HXDYEGBYWYPXKK4GE}

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	2026-05-18T02:48:18.125406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a54344f09bf9ee3c10c1c5b0fba95c310e8433f91fb932481d4dfae424d8ea86

Aliases

arxiv: 0712.3815 · arxiv_version: 0712.3815v2 · doi: 10.48550/arxiv.0712.3815 · pith_short_12: UVBUJ4E37HXD · pith_short_16: UVBUJ4E37HXDYEGB · pith_short_8: UVBUJ4E3

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/UVBUJ4E37HXDYEGBYWYPXKK4GE \
  | 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: a54344f09bf9ee3c10c1c5b0fba95c310e8433f91fb932481d4dfae424d8ea86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf8568178052d348f757d0baa35e7bfbd5544e0fbfc47e9fce521a3416cd714",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-12-21T22:48:45Z",
    "title_canon_sha256": "7dfe8f23c05492ac0d40711d4bc4d65e69f9019aa80123c1b7fc0fa65e529fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3815",
    "kind": "arxiv",
    "version": 2
  }
}