Pith Number

pith:UPJWCFOS

pith:2005:UPJWCFOSGBLPELR3VI5ZBSBU2K

not attested not anchored not stored refs pending

Unknown values in the table of knots

Charles Livingston, Jae Choon Cha

arxiv:math/0503125 v23 · 2005-03-07 · 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{UPJWCFOSGBLPELR3VI5ZBSBU2K}

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	2026-05-18T00:08:01.267589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d36115d23056f22e3baa3b90c834d2a8391a77845a1914b498a24dbc7cbd97

Aliases

arxiv: math/0503125 · arxiv_version: math/0503125v23 · doi: 10.48550/arxiv.math/0503125 · pith_short_12: UPJWCFOSGBLP · pith_short_16: UPJWCFOSGBLPELR3 · pith_short_8: UPJWCFOS

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/UPJWCFOSGBLPELR3VI5ZBSBU2K \
  | 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: a3d36115d23056f22e3baa3b90c834d2a8391a77845a1914b498a24dbc7cbd97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5030f015fdecf9968fb95c1e224c0f6bdc120e0ae8c6d78d95a16fe8b057aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-03-07T14:41:37Z",
    "title_canon_sha256": "3e33911b04bab25d36d61a925d45eeed844b00a8491013328c50009382713a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503125",
    "kind": "arxiv",
    "version": 23
  }
}