Pith Number

pith:V5IVL7TM

pith:2013:V5IVL7TMNKUPT6AXSLHOL6SRIW

not attested not anchored not stored refs pending

Quantum one-cocycles for knots

Thomas Fiedler

arxiv:1304.0970 v2 · 2013-04-03 · 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{V5IVL7TMNKUPT6AXSLHOL6SRIW}

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	2026-05-18T03:27:42.404223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af5155fe6c6aa8f9f81792cee5fa51459ec5417c3267f07ed70a90f3223e10ac

Aliases

arxiv: 1304.0970 · arxiv_version: 1304.0970v2 · doi: 10.48550/arxiv.1304.0970 · pith_short_12: V5IVL7TMNKUP · pith_short_16: V5IVL7TMNKUPT6AX · pith_short_8: V5IVL7TM

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/V5IVL7TMNKUPT6AXSLHOL6SRIW \
  | 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: af5155fe6c6aa8f9f81792cee5fa51459ec5417c3267f07ed70a90f3223e10ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6227769ab410028168c79a52a5ae72a1f0f03bdfc32f26f6f1c4ead0ffff889c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-04-03T15:01:42Z",
    "title_canon_sha256": "d9fbb9e2e69275f49671b5db5be7850a801457c4e632abeeedeb63dbefeb76ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0970",
    "kind": "arxiv",
    "version": 2
  }
}