Pith Number

pith:L55IMNQN

pith:2014:L55IMNQNTRLFH4PD32NT6NT2LX

not attested not anchored not stored refs pending

Spherical Thrackles

Grant Cairns, Timothy J.Koussas, Yuri Nikolayevsky

arxiv:1412.7252 v1 · 2014-12-23 · 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{L55IMNQNTRLFH4PD32NT6NT2LX}

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	2026-05-18T02:30:39.301545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7a86360d9c5653f1e3de9b3f367a5dc9d43752b1dde67b74969a0a192c4bec

Aliases

arxiv: 1412.7252 · arxiv_version: 1412.7252v1 · doi: 10.48550/arxiv.1412.7252 · pith_short_12: L55IMNQNTRLF · pith_short_16: L55IMNQNTRLFH4PD · pith_short_8: L55IMNQN

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/L55IMNQNTRLFH4PD32NT6NT2LX \
  | 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: 5f7a86360d9c5653f1e3de9b3f367a5dc9d43752b1dde67b74969a0a192c4bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5af576cd16e6e5bd3d9beae9fda065169c0131f0b32c1045e204dff75cbd29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-23T04:51:31Z",
    "title_canon_sha256": "34f11a9541c2f410ae62fce29d1b374b1ee45d0c5427c09c6c5f7685799e6a06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7252",
    "kind": "arxiv",
    "version": 1
  }
}