Pith Number

pith:R6MOAZWE

pith:2011:R6MOAZWEUEDN33AXAQWQ6I2PYK

not attested not anchored not stored refs pending

Formation of singularities in solutions to ideal hydrodynamics of freely cooling inelastic gases

Olga Rozanova

arxiv:1107.0365 v1 · 2011-07-02 · math.AP · cond-mat.soft · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6MOAZWEUEDN33AXAQWQ6I2PYK}

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	2026-05-18T02:01:25.650271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f98e066c4a106ddec17042d0f234fc28a7e62a454bf7a548233edffc1afde75

Aliases

arxiv: 1107.0365 · arxiv_version: 1107.0365v1 · doi: 10.48550/arxiv.1107.0365 · pith_short_12: R6MOAZWEUEDN · pith_short_16: R6MOAZWEUEDN33AX · pith_short_8: R6MOAZWE

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/R6MOAZWEUEDN33AXAQWQ6I2PYK \
  | 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: 8f98e066c4a106ddec17042d0f234fc28a7e62a454bf7a548233edffc1afde75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad858e182210232a1b4054cb05b2406f756c7158b2241fa629d3320f12ca5ce5",
    "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": "2011-07-02T09:41:07Z",
    "title_canon_sha256": "26b2a55d66b7a58c31f64424fcb6b7195f7ddd5e405ae09a919c8b8b4ba7ed01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0365",
    "kind": "arxiv",
    "version": 1
  }
}