Pith Number

pith:ZFCJJHEW

pith:2003:ZFCJJHEWNTBAR2RTLFDU5H7CG5

not attested not anchored not stored refs pending

An Algebraic Characterization of Vacuum States in Minkowski Space. III. Reflection Maps

Detlev Buchholz, Stephen J. Summers

arxiv:math-ph/0309023 v2 · 2003-09-09 · math-ph · hep-th · math.MP · math.RA · quant-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{ZFCJJHEWNTBAR2RTLFDU5H7CG5}

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	2026-07-04T16:41:39.360774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c944949c966cc208ea3359474e9fe2375048ea7be0d66cebb54564011aed732c

Aliases

arxiv: math-ph/0309023 · arxiv_version: math-ph/0309023v2 · doi: 10.48550/arxiv.math-ph/0309023 · pith_short_12: ZFCJJHEWNTBA · pith_short_16: ZFCJJHEWNTBAR2RT · pith_short_8: ZFCJJHEW

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/ZFCJJHEWNTBAR2RTLFDU5H7CG5 \
  | 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: c944949c966cc208ea3359474e9fe2375048ea7be0d66cebb54564011aed732c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b05cb5079f589c1f3cf8807e4dfe0586252b50e41a41d5baac706375ba3f23e",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.RA",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-09-09T22:48:32Z",
    "title_canon_sha256": "8f552d7aebec9296e7db517a4291e818a85a6086748868bb52bbec8088fa662f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0309023",
    "kind": "arxiv",
    "version": 2
  }
}