Pith Number

pith:GHMOCCPA

pith:2014:GHMOCCPAQ3WEDLWYAKYNBPMLCF

not attested not anchored not stored refs pending

Enumerating rigid sphere packings

Miranda C. Holmes-Cerfon

arxiv:1407.3285 v2 · 2014-07-11 · cond-mat.soft · math-ph · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHMOCCPAQ3WEDLWYAKYNBPMLCF}

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	2026-05-18T01:14:26.297011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d8e109e086ec41aed802b0d0bd8b1149b0b2cda06912fc6fb066d8b60f4b21

Aliases

arxiv: 1407.3285 · arxiv_version: 1407.3285v2 · doi: 10.48550/arxiv.1407.3285 · pith_short_12: GHMOCCPAQ3WE · pith_short_16: GHMOCCPAQ3WEDLWY · pith_short_8: GHMOCCPA

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/GHMOCCPAQ3WEDLWYAKYNBPMLCF \
  | 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: 31d8e109e086ec41aed802b0d0bd8b1149b0b2cda06912fc6fb066d8b60f4b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ca7722a9216ade584c68a65dce2ee10fcc5b60a8546fa350a0c5913fc0ee51",
    "cross_cats_sorted": [
      "math-ph",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2014-07-11T20:14:42Z",
    "title_canon_sha256": "48e69bc930776b3fcf222eb30264c08d68793a7e44e41bbc98057bdf21b02fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3285",
    "kind": "arxiv",
    "version": 2
  }
}