Pith Number

pith:PAUBOVDV

pith:2001:PAUBOVDVJXBRIBPG7YR4FUPGKH

not attested not anchored not stored refs pending

Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties

Elmar Schrohe, Wolfgang Junker

arxiv:math-ph/0109010 v2 · 2001-09-11 · math-ph · gr-qc · hep-th · math.AP · 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{PAUBOVDVJXBRIBPG7YR4FUPGKH}

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	2026-05-18T01:38:34.454593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78281754754dc31405e6fe23c2d1e651f9111ca4bf8e2f24c6e90db62ac61bcd

Aliases

arxiv: math-ph/0109010 · arxiv_version: math-ph/0109010v2 · doi: 10.48550/arxiv.math-ph/0109010 · pith_short_12: PAUBOVDVJXBR · pith_short_16: PAUBOVDVJXBRIBPG · pith_short_8: PAUBOVDV

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/PAUBOVDVJXBRIBPG7YR4FUPGKH \
  | 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: 78281754754dc31405e6fe23c2d1e651f9111ca4bf8e2f24c6e90db62ac61bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82b785baecc9ebde676b958d5ab3a9b2ad528a64b47e198d7c3f6a20fd739001",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-09-11T15:01:50Z",
    "title_canon_sha256": "38b96078e32c2f69d01bc79c630dc158cbbf66515b0d960e146d408234afa02c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0109010",
    "kind": "arxiv",
    "version": 2
  }
}