Pith Number

pith:R225MBZI

pith:2015:R225MBZIGUB64EG2O74ZJ53TUL

not attested not anchored not stored refs pending

Failure of the Volume Function in Granular Statistical Mechanics and an Alternative Formulation

Joe F. Jordan, Raphael Blumenfeld, Rebecca Hihinashvili, Shahar Amitai

arxiv:1507.03779 v3 · 2015-07-14 · 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{R225MBZIGUB64EG2O74ZJ53TUL}

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	2026-05-18T01:17:08.107309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb5d607283503ee10da77f994f773a2cf6f041bcef3af2d4849e7d920bfca93

Aliases

arxiv: 1507.03779 · arxiv_version: 1507.03779v3 · doi: 10.48550/arxiv.1507.03779 · pith_short_12: R225MBZIGUB6 · pith_short_16: R225MBZIGUB64EG2 · pith_short_8: R225MBZI

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/R225MBZIGUB64EG2O74ZJ53TUL \
  | 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: 8eb5d607283503ee10da77f994f773a2cf6f041bcef3af2d4849e7d920bfca93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4520740771bf7e963ab45f5fb9fdcc497355cd88ac0ffdf9d3a8927e846e5062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-07-14T09:13:52Z",
    "title_canon_sha256": "a41508c3d88780ebc087899894b3eaeff14dae1020488f346873c08e563d18b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03779",
    "kind": "arxiv",
    "version": 3
  }
}