Pith Number

pith:XDNBMMVQ

pith:2011:XDNBMMVQKT3WX5VRA6CQVOEEVV

not attested not anchored not stored refs pending

Concordance to links with unknotted components

Daniel Ruberman, Jae Choon Cha

arxiv:1103.2417 v3 · 2011-03-12 · 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{XDNBMMVQKT3WX5VRA6CQVOEEVV}

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	2026-05-18T02:41:50.578204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8da1632b054f76bf6b107850ab884ad4f05631d19c8b90d3ad2f0cde3cc499e

Aliases

arxiv: 1103.2417 · arxiv_version: 1103.2417v3 · doi: 10.48550/arxiv.1103.2417 · pith_short_12: XDNBMMVQKT3W · pith_short_16: XDNBMMVQKT3WX5VR · pith_short_8: XDNBMMVQ

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/XDNBMMVQKT3WX5VRA6CQVOEEVV \
  | 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: b8da1632b054f76bf6b107850ab884ad4f05631d19c8b90d3ad2f0cde3cc499e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d50773f9ad8d3a444ae3005faf3587e568088ed6dd53dd00fd32625107e2e13e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-12T03:44:48Z",
    "title_canon_sha256": "d0064b5992afcd41b003672efebcab6259d3a830eaf0dbc7203b6206a69156da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2417",
    "kind": "arxiv",
    "version": 3
  }
}