Pith Number

pith:K25CY4Y3

pith:2010:K25CY4Y3XDVP2ORQJLSLX2STB5

not attested not anchored not stored refs pending

A symmetric motion picture of the twist-spun trefoil

Ayumu Inoue

arxiv:1008.2819 v1 · 2010-08-17 · math.GT · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K25CY4Y3XDVP2ORQJLSLX2STB5}

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	2026-05-18T04:42:12.067163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ba2c731bb8eafd3a304ae4bbea530f6c7466e57cf531338701faba7c029382

Aliases

arxiv: 1008.2819 · arxiv_version: 1008.2819v1 · doi: 10.48550/arxiv.1008.2819 · pith_short_12: K25CY4Y3XDVP · pith_short_16: K25CY4Y3XDVP2ORQ · pith_short_8: K25CY4Y3

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/K25CY4Y3XDVP2ORQJLSLX2STB5 \
  | 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: 56ba2c731bb8eafd3a304ae4bbea530f6c7466e57cf531338701faba7c029382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ead1e31e1919ff178ea6263d6d68f976918d34ece59bcdcd9377c1a19269a9",
    "cross_cats_sorted": [
      "cs.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-17T05:04:20Z",
    "title_canon_sha256": "55f1fb99fc343a5940fe36ff8bcb48125da5fbb589c1b973df80f17aafe25065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2819",
    "kind": "arxiv",
    "version": 1
  }
}