Pith Number

pith:6PCBVUPP

pith:2014:6PCBVUPPRLOBDMZL7MONS6FVRN

not attested not anchored not stored refs pending

Geometrically and diagrammatically maximal knots

Abhijit Champanerkar, Ilya Kofman, Jessica S. Purcell

arxiv:1411.7915 v4 · 2014-11-28 · 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{6PCBVUPPRLOBDMZL7MONS6FVRN}

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	2026-05-18T00:00:41.680383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c41ad1ef8adc11b32bfb1cd978b58b73abae3fbbda00891c8ce32bddf174d4

Aliases

arxiv: 1411.7915 · arxiv_version: 1411.7915v4 · doi: 10.48550/arxiv.1411.7915 · pith_short_12: 6PCBVUPPRLOB · pith_short_16: 6PCBVUPPRLOBDMZL · pith_short_8: 6PCBVUPP

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/6PCBVUPPRLOBDMZL7MONS6FVRN \
  | 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: f3c41ad1ef8adc11b32bfb1cd978b58b73abae3fbbda00891c8ce32bddf174d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca51b1eaee2efe10c15190c00a5635b0d892c21da034535de0abcaa080d498ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-28T15:47:54Z",
    "title_canon_sha256": "ea8072d9286bbb4689d40f70f5bc837c6198a86b8594537713c4761353f0710b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7915",
    "kind": "arxiv",
    "version": 4
  }
}