Pith Number

pith:FZ4N4ZGQ

pith:2011:FZ4N4ZGQJMN7V7V45W2PC2S2ZN

not attested not anchored not stored refs pending

Blow up Analysis for Anomalous Granular Gases

Thomas Rey (ICJ)

arxiv:1104.5134 v3 · 2011-04-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ4N4ZGQJMN7V7V45W2PC2S2ZN}

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	2026-05-18T03:50:59.218131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e78de64d04b1bfafebcedb4f16a5acb75cce788d7205417428d33b5a867ce0b

Aliases

arxiv: 1104.5134 · arxiv_version: 1104.5134v3 · doi: 10.48550/arxiv.1104.5134 · pith_short_12: FZ4N4ZGQJMN7 · pith_short_16: FZ4N4ZGQJMN7V7V4 · pith_short_8: FZ4N4ZGQ

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/FZ4N4ZGQJMN7V7V45W2PC2S2ZN \
  | 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: 2e78de64d04b1bfafebcedb4f16a5acb75cce788d7205417428d33b5a867ce0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "987cae8087fa27032b313d8a26be1b21ebb3670884c08bc5984b6d6a60d4baa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-27T13:05:45Z",
    "title_canon_sha256": "c2d875de2026cdef997c1d32e8e8ee217b917bca8c3ca412d1a5513905870184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5134",
    "kind": "arxiv",
    "version": 3
  }
}