Pith Number

pith:76KXA7TH

pith:2012:76KXA7THWGL6NAK7AKEPO2RMVJ

not attested not anchored not stored refs pending

Inflations of Geometric Grid Classes: Three Case Studies

M. D. Atkinson, Michael H. Albert, Vincent Vatter

arxiv:1209.0425 v1 · 2012-09-03 · 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{76KXA7THWGL6NAK7AKEPO2RMVJ}

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	2026-05-18T03:46:28.992496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff95707e67b197e6815f0288f76a2caa65ae481d2ef65160ea031ec270e29453

Aliases

arxiv: 1209.0425 · arxiv_version: 1209.0425v1 · doi: 10.48550/arxiv.1209.0425 · pith_short_12: 76KXA7THWGL6 · pith_short_16: 76KXA7THWGL6NAK7 · pith_short_8: 76KXA7TH

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/76KXA7THWGL6NAK7AKEPO2RMVJ \
  | 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: ff95707e67b197e6815f0288f76a2caa65ae481d2ef65160ea031ec270e29453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364ca2c9b10ff516e8d67ed264dc645ef9d6b4e24000bc2cfbf4ef10be91d832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-03T18:26:52Z",
    "title_canon_sha256": "380db96422ab7ca5b2c8bee0f561d659fc3b315f4c7c84a45a04705e1fbb262a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0425",
    "kind": "arxiv",
    "version": 1
  }
}