Pith Number

pith:I67BL4J5

pith:2009:I67BL4J5HWR22NL3FBFKAK5GZH

not attested not anchored not stored refs pending

Supergravity Black Holes and Billiards and Liouville integrable structure of dual Borel algebras

Alexander S. Sorin, Pietro Fre

arxiv:0903.2559 v3 · 2009-03-15 · hep-th · gr-qc · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I67BL4J5HWR22NL3FBFKAK5GZH}

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	2026-05-18T02:14:28.270094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47be15f13d3da3ad357b284aa02ba6c9eb4a6da55f9d0869ed88806233e75e5c

Aliases

arxiv: 0903.2559 · arxiv_version: 0903.2559v3 · doi: 10.48550/arxiv.0903.2559 · pith_short_12: I67BL4J5HWR2 · pith_short_16: I67BL4J5HWR22NL3 · pith_short_8: I67BL4J5

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/I67BL4J5HWR22NL3FBFKAK5GZH \
  | 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: 47be15f13d3da3ad357b284aa02ba6c9eb4a6da55f9d0869ed88806233e75e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971159ead4f45e858d2109b55970dd8cf3e6f94f18499aed1c47ad84e3db0fd3",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-03-15T11:35:19Z",
    "title_canon_sha256": "55b0ac8c8fb472e2c2b39015722170c8dfc87277133a1f829fdca197dc3a4edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2559",
    "kind": "arxiv",
    "version": 3
  }
}