Pith Number

pith:3GTKEQID

pith:2019:3GTKEQIDRVPRDBPLYODVSLQNCK

not attested not anchored not stored refs pending

Circuits and circulant minors

Graciela Nasini, Luis Miguel Torres, Paola Tolomei, Silvia Bianchi

arxiv:1902.03115 v1 · 2019-02-08 · 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{3GTKEQIDRVPRDBPLYODVSLQNCK}

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	2026-05-17T23:54:27.922773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a6a241038d5f1185ebc387592e0d12b90e7fc008d069a76d37faa48655eba3

Aliases

arxiv: 1902.03115 · arxiv_version: 1902.03115v1 · doi: 10.48550/arxiv.1902.03115 · pith_short_12: 3GTKEQIDRVPR · pith_short_16: 3GTKEQIDRVPRDBPL · pith_short_8: 3GTKEQID

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/3GTKEQIDRVPRDBPLYODVSLQNCK \
  | 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: d9a6a241038d5f1185ebc387592e0d12b90e7fc008d069a76d37faa48655eba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fee065c2d7bbd1e4d98ea58e6e9ad91f680204fb8bc0056d7a38d6cfd0ec4dc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-08T14:48:31Z",
    "title_canon_sha256": "1c5d3d7a482f89597d0d88ee3f88f6e722b73b7de99107eeeb9a0aeac9d3305a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03115",
    "kind": "arxiv",
    "version": 1
  }
}