Pith Number

pith:AWM7IFCN

pith:2006:AWM7IFCN5Y4LOSDKV3WBMUBIKG

not attested not anchored not stored refs pending

Translations and Rotations are correlated in Granular Gases

Annette Zippelius, Nikolai V. Brilliantov, Thorsten Poeschel, W. Till Kranz

arxiv:cond-mat/0609213 v1 · 2006-09-09 · 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{AWM7IFCN5Y4LOSDKV3WBMUBIKG}

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	2026-05-18T01:39:43.485165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0599f4144dee38b7486aaeec16502851b3c7080cd55c52e9c1fc40e156695c0c

Aliases

arxiv: cond-mat/0609213 · arxiv_version: cond-mat/0609213v1 · doi: 10.48550/arxiv.cond-mat/0609213 · pith_short_12: AWM7IFCN5Y4L · pith_short_16: AWM7IFCN5Y4LOSDK · pith_short_8: AWM7IFCN

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/AWM7IFCN5Y4LOSDKV3WBMUBIKG \
  | 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: 0599f4144dee38b7486aaeec16502851b3c7080cd55c52e9c1fc40e156695c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "627f031d865dcef59f19ae0ba00f194f2d8943fb77e96f48e73e1fd57f461b78",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-09-09T04:07:24Z",
    "title_canon_sha256": "8efc9f9bcc177601db72d85c33b1975d809db5ac0e97087bd0cfd27322fe8f10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0609213",
    "kind": "arxiv",
    "version": 1
  }
}