Pith Number

pith:T5QE6U3T

pith:2014:T5QE6U3TM6HGMSQ6HKOVAU3N62

not attested not anchored not stored refs pending

Dense periodic packings of tori

Ruggero Gabbrielli, Salvatore Torquato, Yang Jiao

arxiv:1402.6745 v1 · 2014-02-26 · cond-mat.stat-mech · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5QE6U3TM6HGMSQ6HKOVAU3N62}

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	2026-05-18T02:57:43.008714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f604f5373678e664a1e3a9d50536df6aa046f891a564380db5d2ec0c22d2700

Aliases

arxiv: 1402.6745 · arxiv_version: 1402.6745v1 · doi: 10.48550/arxiv.1402.6745 · pith_short_12: T5QE6U3TM6HG · pith_short_16: T5QE6U3TM6HGMSQ6 · pith_short_8: T5QE6U3T

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/T5QE6U3TM6HGMSQ6HKOVAU3N62 \
  | 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: 9f604f5373678e664a1e3a9d50536df6aa046f891a564380db5d2ec0c22d2700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27cc438133b48bf9fd71e1a1f649f2a0a701049277af71523a3ff8c89b711c5c",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-02-26T23:30:43Z",
    "title_canon_sha256": "cd45acc9d710131de0c79dcebcc10342dc930499861b24c882679111882b88c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6745",
    "kind": "arxiv",
    "version": 1
  }
}