Pith Number

pith:6QQO3ELJ

pith:2010:6QQO3ELJA6SSAUTDQ6SOE4M572

not attested not anchored not stored refs pending

A first-order phase transition at the random close packing of hard spheres

Hernan A. Makse, Yuliang Jin

arxiv:1001.5287 v2 · 2010-01-28 · cond-mat.soft · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QQO3ELJA6SSAUTDQ6SOE4M572}

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	2026-05-18T01:18:15.574566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f420ed916907a520526387a4e2719dfeb95815d79f10552d47412c260d16a647

Aliases

arxiv: 1001.5287 · arxiv_version: 1001.5287v2 · doi: 10.48550/arxiv.1001.5287 · pith_short_12: 6QQO3ELJA6SS · pith_short_16: 6QQO3ELJA6SSAUTD · pith_short_8: 6QQO3ELJ

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/6QQO3ELJA6SSAUTDQ6SOE4M572 \
  | 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: f420ed916907a520526387a4e2719dfeb95815d79f10552d47412c260d16a647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dd24bd68aece1328782bf67d7884ef4f4c16093d964efc26781143fd68e653c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2010-01-28T22:54:12Z",
    "title_canon_sha256": "ab1d3cafb68db5c6bef045148220f38e1a76bc602235ec7b73624b2e3b0d07fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5287",
    "kind": "arxiv",
    "version": 2
  }
}