Pith Number

pith:TYZQQVWL

pith:2011:TYZQQVWLTE3LP65I2ITRR33ZQT

not attested not anchored not stored refs pending

Non-Universality of Density and Disorder in Jammed Sphere Packings

Frank H. Stillinger, Sal Torquato, Yang Jiao

arxiv:1101.1327 v1 · 2011-01-06 · 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{TYZQQVWLTE3LP65I2ITRR33ZQT}

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	2026-05-18T04:31:59.705410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e330856cb9936b7fba8d22718ef7984f3cc95fbd3bff167212017e9e9401217

Aliases

arxiv: 1101.1327 · arxiv_version: 1101.1327v1 · doi: 10.48550/arxiv.1101.1327 · pith_short_12: TYZQQVWLTE3L · pith_short_16: TYZQQVWLTE3LP65I · pith_short_8: TYZQQVWL

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/TYZQQVWLTE3LP65I2ITRR33ZQT \
  | 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: 9e330856cb9936b7fba8d22718ef7984f3cc95fbd3bff167212017e9e9401217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f610230d2d4cfd31e1d6264b565371a2be82f70391b1c67df4395bbe1ab9276d",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-01-06T22:26:15Z",
    "title_canon_sha256": "7c872418378151f29701600b985eb6b260cf60274457faba9703e1df28c11147"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1327",
    "kind": "arxiv",
    "version": 1
  }
}