Pith Number

pith:G2TYP4NL

pith:2013:G2TYP4NLHHMU4ATXOV77NAHA2L

not attested not anchored not stored refs pending

Formation and propagation of singularities in one-dimensional Chaplygin gas

Changhua Wei, De-Xing Kong

arxiv:1311.3737 v1 · 2013-11-15 · 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{G2TYP4NLHHMU4ATXOV77NAHA2L}

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	2026-05-18T01:15:24.217999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36a787f1ab39d94e0277757ff680e0d2e944daf71a6b8b50a8faa18b5bd3b609

Aliases

arxiv: 1311.3737 · arxiv_version: 1311.3737v1 · doi: 10.48550/arxiv.1311.3737 · pith_short_12: G2TYP4NLHHMU · pith_short_16: G2TYP4NLHHMU4ATX · pith_short_8: G2TYP4NL

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/G2TYP4NLHHMU4ATXOV77NAHA2L \
  | 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: 36a787f1ab39d94e0277757ff680e0d2e944daf71a6b8b50a8faa18b5bd3b609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48143bd5101ce9b3943c18aec42b31a860b9b6169ce09b92f2fa70a926383b1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-15T06:34:53Z",
    "title_canon_sha256": "3059a149a73bf2b6f17dd34f12a10c1d9a88b2911c11838c25acde80623390e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3737",
    "kind": "arxiv",
    "version": 1
  }
}