Pith Number

pith:5Z567DGK

pith:2012:5Z567DGK6FTCVBFXIQSGL67VEJ

not attested not anchored not stored refs pending

Osculating curves: around the Tait-Kneser Theorem

E. Ghys, S. Tabachnikov, V. Timorin

arxiv:1207.5662 v1 · 2012-07-24 · 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{5Z567DGK6FTCVBFXIQSGL67VEJ}

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	2026-05-18T03:50:11.683656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee7bef8ccaf1662a84b7442465fbf52278b24ae9b2954074c269084d068e88e5

Aliases

arxiv: 1207.5662 · arxiv_version: 1207.5662v1 · doi: 10.48550/arxiv.1207.5662 · pith_short_12: 5Z567DGK6FTC · pith_short_16: 5Z567DGK6FTCVBFX · pith_short_8: 5Z567DGK

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/5Z567DGK6FTCVBFXIQSGL67VEJ \
  | 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: ee7bef8ccaf1662a84b7442465fbf52278b24ae9b2954074c269084d068e88e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07bd5b21fcdf6604a8e952308cd8e278fc59584cde0e56df976c728f8255dcbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-24T11:37:03Z",
    "title_canon_sha256": "56d261944c15c62f0870d705947f3b3b3194ff07d072b62c51281d82999b5cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5662",
    "kind": "arxiv",
    "version": 1
  }
}