Pith Number

pith:IXQ4XTQW

pith:2012:IXQ4XTQWOKR6AZ7FNDEW4ZSCKC

not attested not anchored not stored refs pending

Gauss diagrams of real and virtual knots in the solid torus

Arnaud Mortier

arxiv:1201.5859 v1 · 2012-01-27 · 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{IXQ4XTQWOKR6AZ7FNDEW4ZSCKC}

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	2026-05-18T04:03:44.353604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e1cbce1672a3e067e568c96e664250913887267f265ec44c306f1ef3ed147b

Aliases

arxiv: 1201.5859 · arxiv_version: 1201.5859v1 · doi: 10.48550/arxiv.1201.5859 · pith_short_12: IXQ4XTQWOKR6 · pith_short_16: IXQ4XTQWOKR6AZ7F · pith_short_8: IXQ4XTQW

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/IXQ4XTQWOKR6AZ7FNDEW4ZSCKC \
  | 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: 45e1cbce1672a3e067e568c96e664250913887267f265ec44c306f1ef3ed147b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2307975c403373749368c47e0f366f75d175a32427c99eb497621df71c245f00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-27T18:30:37Z",
    "title_canon_sha256": "03f5c91e4025f6373ce36d8736ff74547a4607831e981ba5f745238b1b0ac45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5859",
    "kind": "arxiv",
    "version": 1
  }
}