Pith Number

pith:STI5QINF

pith:2011:STI5QINFRPVO25SR3ZXVIICNKJ

not attested not anchored not stored refs pending

Densest columnar structures of hard spheres from sequential deposition

Ho-Kei Chan

arxiv:1110.4956 v3 · 2011-10-22 · math-ph · cond-mat.mes-hall · cond-mat.soft · 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{STI5QINFRPVO25SR3ZXVIICNKJ}

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	2026-05-18T02:00:06.884305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94d1d821a58beaed7651de6f54204d5243616ce47cce350f53a2536a72a0cd72

Aliases

arxiv: 1110.4956 · arxiv_version: 1110.4956v3 · doi: 10.48550/arxiv.1110.4956 · pith_short_12: STI5QINFRPVO · pith_short_16: STI5QINFRPVO25SR · pith_short_8: STI5QINF

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/STI5QINFRPVO25SR3ZXVIICNKJ \
  | 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: 94d1d821a58beaed7651de6f54204d5243616ce47cce350f53a2536a72a0cd72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3984015238ceb9775fcae99563f3d15afbc83cba539c9be2a9492ea1391edf1e",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.soft",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-22T07:35:05Z",
    "title_canon_sha256": "8a0eb4a332371f6325395381b949a3fa643975536979ac74dc95744f0e70f635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4956",
    "kind": "arxiv",
    "version": 3
  }
}