Pith Number

pith:GQFA26FZ

pith:2004:GQFA26FZOYYA5AQTFHQDNKJ7PY

not attested not anchored not stored refs pending

Hydrodynamics of the Vacuum

P. M. Stevenson

arxiv:hep-ph/0409292 v2 · 2004-09-24 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQFA26FZOYYA5AQTFHQDNKJ7PY}

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	2026-05-18T01:11:40.136011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340a0d78b976300e821329e036a93f7e0b3686dc5b741e81e5f14b04acd37ae0

Aliases

arxiv: hep-ph/0409292 · arxiv_version: hep-ph/0409292v2 · doi: 10.48550/arxiv.hep-ph/0409292 · pith_short_12: GQFA26FZOYYA · pith_short_16: GQFA26FZOYYA5AQT · pith_short_8: GQFA26FZ

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/GQFA26FZOYYA5AQTFHQDNKJ7PY \
  | 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: 340a0d78b976300e821329e036a93f7e0b3686dc5b741e81e5f14b04acd37ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06aadf25ca86908cf6b458a5a66860f0f70567843d432c9a0535861e980545b6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-09-24T21:54:03Z",
    "title_canon_sha256": "1689535dfa4940488b331a64b8c4a9b6f5ca2d3791139c5ba6c2f2393588bc75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0409292",
    "kind": "arxiv",
    "version": 2
  }
}