Pith Number

pith:BUMN7XC7

pith:2013:BUMN7XC7AOKIQ26A5FFWEPFGJS

not attested not anchored not stored refs pending

A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations

Fabio Cavalletti, Marc Sedjro, Michael Westdickenberg

arxiv:1311.3108 v2 · 2013-11-13 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUMN7XC7AOKIQ26A5FFWEPFGJS}

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	2026-05-18T02:34:45.062300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d18dfdc5f0394886bc0e94b623ca64ca01cbcbeffd0578f1c2d91314a52a75a

Aliases

arxiv: 1311.3108 · arxiv_version: 1311.3108v2 · doi: 10.48550/arxiv.1311.3108 · pith_short_12: BUMN7XC7AOKI · pith_short_16: BUMN7XC7AOKIQ26A · pith_short_8: BUMN7XC7

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/BUMN7XC7AOKIQ26A5FFWEPFGJS \
  | 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: 0d18dfdc5f0394886bc0e94b623ca64ca01cbcbeffd0578f1c2d91314a52a75a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb704b5a702e864f99ee09b1ce0c388e6a53330a8a7980e17c26292b2dd521aa",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-13T12:49:46Z",
    "title_canon_sha256": "a3bbf991e154f3ff6ff5a5c1f32b271bdeedcbbf2a23232b80eac5856f352e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3108",
    "kind": "arxiv",
    "version": 2
  }
}