Pith Number

pith:LMYVHT6R

pith:2013:LMYVHT6RJRVI523FIKUOK4B3GL

not attested not anchored not stored refs pending

Intrinsically knotted graphs with 21 edges

Jamison Barsotti, Thomas W. Mattman

arxiv:1303.6911 v1 · 2013-03-27 · math.GT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMYVHT6RJRVI523FIKUOK4B3GL}

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	2026-05-18T03:29:39.336958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3153cfd14c6a8eeb6542a8e5703b32c01bb3d182a40197cdc9e7174ec19818

Aliases

arxiv: 1303.6911 · arxiv_version: 1303.6911v1 · doi: 10.48550/arxiv.1303.6911 · pith_short_12: LMYVHT6RJRVI · pith_short_16: LMYVHT6RJRVI523F · pith_short_8: LMYVHT6R

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/LMYVHT6RJRVI523FIKUOK4B3GL \
  | 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: 5b3153cfd14c6a8eeb6542a8e5703b32c01bb3d182a40197cdc9e7174ec19818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5ba24e4524ff7d7ef79dc98a394a3332aaeff80c98c06778a126dbcf591b64",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-27T17:48:59Z",
    "title_canon_sha256": "d394cb5a487b4499c8233ec806567d32e044f2ae586518f529993cc1f02b1e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6911",
    "kind": "arxiv",
    "version": 1
  }
}