Pith Number

pith:7QNK75W3

pith:2015:7QNK75W3Q3SPPSQ2TQV5GVM3EH

not attested not anchored not stored refs pending

Abelian bordered factors and periodicity

Emilie Charlier, Luca Zamboni, Svetlana Puzynina, Tero Harju

arxiv:1501.07464 v1 · 2015-01-29 · cs.FL · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QNK75W3Q3SPPSQ2TQV5GVM3EH}

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	2026-05-18T02:28:21.860809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc1aaff6db86e4f7ca1a9c2bd3559b21fc2766ad255e61b505cae158a55ff028

Aliases

arxiv: 1501.07464 · arxiv_version: 1501.07464v1 · doi: 10.48550/arxiv.1501.07464 · pith_short_12: 7QNK75W3Q3SP · pith_short_16: 7QNK75W3Q3SPPSQ2 · pith_short_8: 7QNK75W3

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/7QNK75W3Q3SPPSQ2TQV5GVM3EH \
  | 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: fc1aaff6db86e4f7ca1a9c2bd3559b21fc2766ad255e61b505cae158a55ff028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0d1404f5a426d808b01ad814b49dc1b10be19ab25456bbd78a07b87be8c2725",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-01-29T14:48:38Z",
    "title_canon_sha256": "9c3b59a1213b0d1052d2e45c977347e9a3b567cc64310333583348dcbdaa17cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07464",
    "kind": "arxiv",
    "version": 1
  }
}