Pith Number

pith:CTV63H6A

pith:2010:CTV63H6AW4UOPXZ2ZW7L5E37BB

not attested not anchored not stored refs pending

A method for dense packing discovery

Simon Gravel, Veit Elser, Yoav Kallus

arxiv:1003.3301 v2 · 2010-03-17 · math.MG · cond-mat.soft · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTV63H6AW4UOPXZ2ZW7L5E37BB}

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	2026-05-18T03:38:24.085002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14ebed9fc0b728e7df3acdbebe937f085bbdacc848842456121b5420c2aac164

Aliases

arxiv: 1003.3301 · arxiv_version: 1003.3301v2 · doi: 10.48550/arxiv.1003.3301 · pith_short_12: CTV63H6AW4UO · pith_short_16: CTV63H6AW4UOPXZ2 · pith_short_8: CTV63H6A

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/CTV63H6AW4UOPXZ2ZW7L5E37BB \
  | 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: 14ebed9fc0b728e7df3acdbebe937f085bbdacc848842456121b5420c2aac164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ddaa24debe10d32edb408b9a48b212cce482e90de6b42de788f220c91e40ac",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-03-17T06:02:00Z",
    "title_canon_sha256": "8928768c07441058fa6fbffe279a5bf5e9e8eea76a9f635420076ebd7362310c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3301",
    "kind": "arxiv",
    "version": 2
  }
}