Pith Number

pith:TBKIMBN6

pith:2011:TBKIMBN6LRICVZTGLMGVYUBCA4

not attested not anchored not stored refs pending

Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. II. Anisotropy in particle shape

Chase E. Zachary, Salvatore Torquato, Yang Jiao

arxiv:1104.4093 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{TBKIMBN6LRICVZTGLMGVYUBCA4}

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	2026-05-18T02:02:17.304381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98548605be5c502ae6665b0d5c50220710b140d89adc7c60aaa5b1168649548d

Aliases

arxiv: 1104.4093 · arxiv_version: 1104.4093v1 · doi: 10.48550/arxiv.1104.4093 · pith_short_12: TBKIMBN6LRIC · pith_short_16: TBKIMBN6LRICVZTG · pith_short_8: TBKIMBN6

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/TBKIMBN6LRICVZTGLMGVYUBCA4 \
  | 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: 98548605be5c502ae6665b0d5c50220710b140d89adc7c60aaa5b1168649548d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1180edf817d6502ce7e1f3f173d673690ba65beee636474874ac6d5f8e84d30a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-04-20T18:34:32Z",
    "title_canon_sha256": "d080af00cedecea424dea5a1b183f2703892a7445ca5231c12fdef59da08dacb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4093",
    "kind": "arxiv",
    "version": 1
  }
}