Pith Number

pith:PAMJHZFR

pith:2011:PAMJHZFRM7WEIXCHRSTUMEFFRH

not attested not anchored not stored refs pending

Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. I. Polydisperse spheres

Chase E. Zachary, Salvatore Torquato, Yang Jiao

arxiv:1104.4091 v1 · 2011-04-20 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAMJHZFRM7WEIXCHRSTUMEFFRH}

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	2026-05-18T02:02:17.317773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781893e4b167ec445c478ca74610a589c6c3b33a74df18d761dfe3a3e64d5f00

Aliases

arxiv: 1104.4091 · arxiv_version: 1104.4091v1 · doi: 10.48550/arxiv.1104.4091 · pith_short_12: PAMJHZFRM7WE · pith_short_16: PAMJHZFRM7WEIXCH · pith_short_8: PAMJHZFR

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/PAMJHZFRM7WEIXCHRSTUMEFFRH \
  | 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: 781893e4b167ec445c478ca74610a589c6c3b33a74df18d761dfe3a3e64d5f00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09284b6676dce246e6358902073b62052caac075a5382f7a58986b827aaa8972",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-04-20T18:29:21Z",
    "title_canon_sha256": "93a57ff344bd0ac8cc469dcca33c821d43adbd7fb7ae15ebb654c2185ddbc389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4091",
    "kind": "arxiv",
    "version": 1
  }
}