Pith Number

pith:25MWCYA6

pith:2013:25MWCYA6KUWYUXLWLZM2MKE2CC

not attested not anchored not stored refs pending

Several graph sequences as solutions of a double recurrence

\^Angela Mestre, Christian Brouder, William J. Keith

arxiv:1301.0874 v2 · 2013-01-05 · 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{25MWCYA6KUWYUXLWLZM2MKE2CC}

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	2026-05-18T02:29:32.498804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d75961601e552d8a5d765e59a6289a10be8ecc5e8720aff2d6a48ccbaa1c83d6

Aliases

arxiv: 1301.0874 · arxiv_version: 1301.0874v2 · doi: 10.48550/arxiv.1301.0874 · pith_short_12: 25MWCYA6KUWY · pith_short_16: 25MWCYA6KUWYUXLW · pith_short_8: 25MWCYA6

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/25MWCYA6KUWYUXLWLZM2MKE2CC \
  | 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: d75961601e552d8a5d765e59a6289a10be8ecc5e8720aff2d6a48ccbaa1c83d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1928a8724476b7022fd3af7e020ee28e7c649726f6f51f66bf654744ad8efe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-05T05:52:05Z",
    "title_canon_sha256": "6737a463406637d27adf4f8b471d251208be0974e3b9d4fc9fac48d97c2564e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0874",
    "kind": "arxiv",
    "version": 2
  }
}