Pith Number

pith:NBRVS7IL

pith:2012:NBRVS7ILIH7IW52GWZM3XTGOGE

not attested not anchored not stored refs pending

Local moves on knots and products of knots

Eiji Ogasa, Louis H. Kauffman

arxiv:1210.4667 v2 · 2012-10-17 · 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{NBRVS7ILIH7IW52GWZM3XTGOGE}

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	2026-05-18T03:17:11.884562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6863597d0b41fe8b7746b659bbccce312da736b60c2e461a1e3456715d29fecc

Aliases

arxiv: 1210.4667 · arxiv_version: 1210.4667v2 · doi: 10.48550/arxiv.1210.4667 · pith_short_12: NBRVS7ILIH7I · pith_short_16: NBRVS7ILIH7IW52G · pith_short_8: NBRVS7IL

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/NBRVS7ILIH7IW52GWZM3XTGOGE \
  | 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: 6863597d0b41fe8b7746b659bbccce312da736b60c2e461a1e3456715d29fecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79f30e158ce5ddec8dac57ee8a342af8fa8b6b767c641bf81e43c6070a1ae38b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-17T08:38:33Z",
    "title_canon_sha256": "a96be568916d92f3e330078e59a5b1d7fab2516c3e1d92a2c1e4577cc3eba1ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4667",
    "kind": "arxiv",
    "version": 2
  }
}