Pith Number

pith:Y6EHUNE4

pith:2015:Y6EHUNE4IM5LW2RMOCB6MIC3ZG

not attested not anchored not stored refs pending

A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary

Jared Speck, Mahir Hadzic, Steve Shkoller

arxiv:1511.07467 v1 · 2015-11-23 · math.AP · 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{Y6EHUNE4IM5LW2RMOCB6MIC3ZG}

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	2026-05-18T01:26:04.724170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7887a349c433abb6a2c7083e6205bc9bd7fc8d2ac286eb9b6781a7337e427ec

Aliases

arxiv: 1511.07467 · arxiv_version: 1511.07467v1 · doi: 10.48550/arxiv.1511.07467 · pith_short_12: Y6EHUNE4IM5L · pith_short_16: Y6EHUNE4IM5LW2RM · pith_short_8: Y6EHUNE4

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/Y6EHUNE4IM5LW2RMOCB6MIC3ZG \
  | 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: c7887a349c433abb6a2c7083e6205bc9bd7fc8d2ac286eb9b6781a7337e427ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b2a85e32f923594a61d066d1f2937c28f39c21a46e29b04f660efe9bbff2eb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-23T21:25:02Z",
    "title_canon_sha256": "9f5b7a96a48bafb2717ab41062e7e1685af896e67a74d179a04130f8b1293b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07467",
    "kind": "arxiv",
    "version": 1
  }
}