Pith Number

pith:5PYR3PM7

pith:1999:5PYR3PM7V4PEF7LLRJETHC4F46

not attested not anchored not stored refs pending

An Algebraic Characterization of Vacuum States in Minkowski Space. II. Continuity Aspects

Detlev Buchholz, Martin Florig, Stephen J. Summers

arxiv:math-ph/9909003 v2 · 1999-09-01 · math-ph · hep-th · 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{5PYR3PM7V4PEF7LLRJETHC4F46}

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	2026-07-04T14:34:11.164620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf11dbd9faf1e42fd6b8a49338b85e7bc78b16ed16b8541ae10753d4b956bf8

Aliases

arxiv: math-ph/9909003 · arxiv_version: math-ph/9909003v2 · doi: 10.48550/arxiv.math-ph/9909003 · pith_short_12: 5PYR3PM7V4PE · pith_short_16: 5PYR3PM7V4PEF7LL · pith_short_8: 5PYR3PM7

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/5PYR3PM7V4PEF7LLRJETHC4F46 \
  | 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: ebf11dbd9faf1e42fd6b8a49338b85e7bc78b16ed16b8541ae10753d4b956bf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72bc3781c0bc09ba82a87fab5fa949453282df20b16e746faad58a6ec4736733",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-09-01T16:58:26Z",
    "title_canon_sha256": "0cb5b3aa70b29a82603b7774ecde6f615ad3b51859202cda90464c32dfad9d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9909003",
    "kind": "arxiv",
    "version": 2
  }
}