Pith Number

pith:KR2LVPFX

pith:2011:KR2LVPFXAPQZ7BDEAOTFZCLJAC

not attested not anchored not stored refs pending

Edwards thermodynamics of the jamming transition for frictionless packings: ergodicity test and role of angoricity and compactivity

Chaoming Song, Hern\'an A. Makse, Kun Wang, Ping Wang

arxiv:1101.5634 v1 · 2011-01-28 · cond-mat.soft · 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{KR2LVPFXAPQZ7BDEAOTFZCLJAC}

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	2026-05-18T02:03:20.668802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5474babcb703e19f846403a65c896900870a4a28827575a2991d53437ba76699

Aliases

arxiv: 1101.5634 · arxiv_version: 1101.5634v1 · doi: 10.48550/arxiv.1101.5634 · pith_short_12: KR2LVPFXAPQZ · pith_short_16: KR2LVPFXAPQZ7BDE · pith_short_8: KR2LVPFX

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/KR2LVPFXAPQZ7BDEAOTFZCLJAC \
  | 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: 5474babcb703e19f846403a65c896900870a4a28827575a2991d53437ba76699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9d1f46a53acbaa47faeaaf7852911264b875ef7055a95650f30c20a514a816",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2011-01-28T21:34:53Z",
    "title_canon_sha256": "35b825e5c044ba3256a985538edc84154a61adfdf8a70af820d72bf3b27ff121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5634",
    "kind": "arxiv",
    "version": 1
  }
}