Pith Number

pith:UI6BYBL6

pith:2010:UI6BYBL6ESSIGAPNL6MBHARV5S

not attested not anchored not stored refs pending

Hilbert Expansion from the Boltzmann equation to relativistic Fluids

Jared Speck, Robert M. Strain

arxiv:1009.5033 v1 · 2010-09-25 · 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{UI6BYBL6ESSIGAPNL6MBHARV5S}

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	2026-05-18T04:25:11.216167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23c1c057e24a48301ed5f98138235ecbb2c9ac20a77ffa7703e6d2151568b3b

Aliases

arxiv: 1009.5033 · arxiv_version: 1009.5033v1 · doi: 10.48550/arxiv.1009.5033 · pith_short_12: UI6BYBL6ESSI · pith_short_16: UI6BYBL6ESSIGAPN · pith_short_8: UI6BYBL6

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/UI6BYBL6ESSIGAPNL6MBHARV5S \
  | 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: a23c1c057e24a48301ed5f98138235ecbb2c9ac20a77ffa7703e6d2151568b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c2faaaece23270956f9ad688399a04510dba36bcc3b86822e1c052985a118c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-25T21:26:26Z",
    "title_canon_sha256": "7ce1035b468b1ca866b4da5c8885dbe0d731c9621b839cd3886adad0c791fb40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5033",
    "kind": "arxiv",
    "version": 1
  }
}