Pith Number

pith:SHQCZOY2

pith:2012:SHQCZOY2XKA2GQGVPSXDX3OKRQ

not attested not anchored not stored refs pending

Stochastic particle packing with specified granulometry and porosity

A. C. Frery, A. Soares Ramos Junior, L. Rivarola-Duarte, V. Carrilho Le\~ao Ramos, W. W. Matos Lira

arxiv:1207.2961 v1 · 2012-07-12 · stat.CO · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHQCZOY2XKA2GQGVPSXDX3OKRQ}

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	2026-05-18T03:51:13.377928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91e02cbb1aba81a340d57cae3bedca8c24ca07b4d9be217446677bd02513b203

Aliases

arxiv: 1207.2961 · arxiv_version: 1207.2961v1 · doi: 10.48550/arxiv.1207.2961 · pith_short_12: SHQCZOY2XKA2 · pith_short_16: SHQCZOY2XKA2GQGV · pith_short_8: SHQCZOY2

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/SHQCZOY2XKA2GQGVPSXDX3OKRQ \
  | 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: 91e02cbb1aba81a340d57cae3bedca8c24ca07b4d9be217446677bd02513b203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a5224206a942dca17e88fdf83d27313cc91f5b19f4c64773a32f70b671805d",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2012-07-12T13:46:29Z",
    "title_canon_sha256": "6342e9e5f06a0c970917c332aa48ca596d0095c3377409563f9cdeb879ce9633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2961",
    "kind": "arxiv",
    "version": 1
  }
}