Pith Number

pith:JPMCT5OB

pith:2024:JPMCT5OBWYYSPZTE5OSDYUVKJT

not attested not anchored not stored refs pending

Triangulations of the 3-sphere with knotted edge

Daniel V. Mathews, Dionne Ibarra, Jessica S. Purcell, Jonathan Spreer

arxiv:2411.18938 v1 · 2024-11-28 · 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{JPMCT5OBWYYSPZTE5OSDYUVKJT}

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	2026-07-05T09:41:54.287940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd829f5c1b63127e664eba43c52aa4cff1080bf283b0783e09735490d93c156

Aliases

arxiv: 2411.18938 · arxiv_version: 2411.18938v1 · doi: 10.48550/arxiv.2411.18938 · pith_short_12: JPMCT5OBWYYS · pith_short_16: JPMCT5OBWYYSPZTE · pith_short_8: JPMCT5OB

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/JPMCT5OBWYYSPZTE5OSDYUVKJT \
  | 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: 4bd829f5c1b63127e664eba43c52aa4cff1080bf283b0783e09735490d93c156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01645bab6c89532bd15886e790d8324b142e44849a061bff84b03427a2debd20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-11-28T06:04:34Z",
    "title_canon_sha256": "5e9c20e2da88ea5d236ef741a4abf2cbe65c7b62de8e7af6a55176c8dab37a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18938",
    "kind": "arxiv",
    "version": 1
  }
}