Pith Number

pith:2BFCXFFV

pith:2010:2BFCXFFV66XNEFAQZ3FCJKHYJX

not attested not anchored not stored refs pending

Excluded-volume effects in the diffusion of hard spheres

Maria Bruna, S. Jonathan Chapman

arxiv:1012.2821 v4 · 2010-12-13 · math.AP · cond-mat.soft · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BFCXFFV66XNEFAQZ3FCJKHYJX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:05:15.064027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d04a2b94b5f7aed21410ceca24a8f84dcf54e1c0ce402c7ada038f815adbc74b

Aliases

arxiv: 1012.2821 · arxiv_version: 1012.2821v4 · doi: 10.48550/arxiv.1012.2821 · pith_short_12: 2BFCXFFV66XN · pith_short_16: 2BFCXFFV66XNEFAQ · pith_short_8: 2BFCXFFV

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/2BFCXFFV66XNEFAQZ3FCJKHYJX \
  | 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: d04a2b94b5f7aed21410ceca24a8f84dcf54e1c0ce402c7ada038f815adbc74b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52b45dbf6b595e9d3fa4ebc97c7019cd97c69661d6d9467314627493f95d4e4",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-13T18:09:04Z",
    "title_canon_sha256": "d0e1ff08e975608b2521b580df7c855bb7770aa8a062ac8b6ae54fd7a8628b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2821",
    "kind": "arxiv",
    "version": 4
  }
}