Pith Number

pith:O74TTHVG

pith:2024:O74TTHVG4NETSB6QACQP425A4F

not attested not anchored not stored refs pending

A note on the X-torsion order of a knot

Dirk Schuetz

arxiv:2412.05156 v1 · 2024-12-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O74TTHVG4NETSB6QACQP425A4F}

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	2026-07-05T09:45:29.519502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f9399ea6e3493907d000a0fe6ba0e1401f48349e450e311ed94b5641913d78

Aliases

arxiv: 2412.05156 · arxiv_version: 2412.05156v1 · doi: 10.48550/arxiv.2412.05156 · pith_short_12: O74TTHVG4NET · pith_short_16: O74TTHVG4NETSB6Q · pith_short_8: O74TTHVG

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/O74TTHVG4NETSB6QACQP425A4F \
  | 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: 77f9399ea6e3493907d000a0fe6ba0e1401f48349e450e311ed94b5641913d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7638c46fab9d4b25f81bc961c32ca3bdd49fca72255985fdf35e7d713c4a081",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-12-06T16:16:05Z",
    "title_canon_sha256": "1ef181893dff16f00a542ddc6240bd6c985850610cf5f0db4b28fb3ca499bbf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05156",
    "kind": "arxiv",
    "version": 1
  }
}