Pith Number

pith:ODYWQW3U

pith:2018:ODYWQW3USVIE4OMK5632LMQCZL

not attested not anchored not stored refs pending

Diagrammatic representations of knots and links as closed braids

Sofia Lambropoulou

arxiv:1811.11701 v1 · 2018-11-28 · 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{ODYWQW3USVIE4OMK5632LMQCZL}

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	2026-05-17T23:59:40.233852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f1685b7495504e398aefb7a5b202cae825fe51f773dd9895496fb7deea1204

Aliases

arxiv: 1811.11701 · arxiv_version: 1811.11701v1 · doi: 10.48550/arxiv.1811.11701 · pith_short_12: ODYWQW3USVIE · pith_short_16: ODYWQW3USVIE4OMK · pith_short_8: ODYWQW3U

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/ODYWQW3USVIE4OMK5632LMQCZL \
  | 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: 70f1685b7495504e398aefb7a5b202cae825fe51f773dd9895496fb7deea1204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "117945189c0edff820a6a6800a7ae1252e061d7ddc6a68d4197fa122e9f21bac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-28T17:40:56Z",
    "title_canon_sha256": "d0b824f65cff79d978709d9dad282ea3ab8f32b3b91a7970503faecd4de30cbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11701",
    "kind": "arxiv",
    "version": 1
  }
}