Pith Number

pith:STBZTAZM

pith:2022:STBZTAZMOGKS2UWX3QJHFYCRUR

not attested not anchored not stored refs pending

Comment on "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$"

Duyu Chen, Ran Ni

arxiv:2201.06129 v4 · 2022-01-16 · cond-mat.soft · cond-mat.dis-nn · 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{STBZTAZMOGKS2UWX3QJHFYCRUR}

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	2026-07-05T04:45:15.689539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94c399832c71952d52d7dc1272e051a455188573e08264845888567e391abc72

Aliases

arxiv: 2201.06129 · arxiv_version: 2201.06129v4 · doi: 10.48550/arxiv.2201.06129 · pith_short_12: STBZTAZMOGKS · pith_short_16: STBZTAZMOGKS2UWX · pith_short_8: STBZTAZM

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/STBZTAZMOGKS2UWX3QJHFYCRUR \
  | 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: 94c399832c71952d52d7dc1272e051a455188573e08264845888567e391abc72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de35edd316da3ae1994de4c9bd1063becee4c70fcb89db51ac8be135927bb86",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2022-01-16T20:01:10Z",
    "title_canon_sha256": "1d8d90530de82e2df59eeaa460db5919dc08472a23e552946cb708a52efeb165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.06129",
    "kind": "arxiv",
    "version": 4
  }
}