Pith Number

pith:Q5AMNGYN

pith:2003:Q5AMNGYNMJBGQSM7RMCOTGFOUD

not attested not anchored not stored refs pending

All frame-spun knots are slice

Greg Friedman

arxiv:math/0312295 v1 · 2003-12-15 · 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{Q5AMNGYNMJBGQSM7RMCOTGFOUD}

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	2026-05-18T04:25:26.464241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8740c69b0d624268499f8b04e998aea0c8821195c01d062760768f261de7861e

Aliases

arxiv: math/0312295 · arxiv_version: math/0312295v1 · doi: 10.48550/arxiv.math/0312295 · pith_short_12: Q5AMNGYNMJBG · pith_short_16: Q5AMNGYNMJBGQSM7 · pith_short_8: Q5AMNGYN

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/Q5AMNGYNMJBGQSM7RMCOTGFOUD \
  | 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: 8740c69b0d624268499f8b04e998aea0c8821195c01d062760768f261de7861e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e7dd6609ee90c571316bd78c8cf00e7cd7aacdf478704cd0144a7eb4a9661f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-12-15T19:21:16Z",
    "title_canon_sha256": "fb0bb85d57669337fad0b844044206c26143c4a0a09df142dae6454374d84939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312295",
    "kind": "arxiv",
    "version": 1
  }
}