Pith Number

pith:VB45UGWG

pith:1999:VB45UGWGSN3TQJYVZJ4Z7P5IEE

not attested not anchored not stored refs pending

Geometric Modular Action, Wedge Duality and Lorentz Covariance are Equivalent for Generalized Free Fields

Jakob Yngvason, Johanna Gaier

arxiv:math-ph/9910032 v1 · 1999-10-20 · math-ph · 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{VB45UGWGSN3TQJYVZJ4Z7P5IEE}

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	2026-05-18T01:38:30.457908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a879da1ac69377382715ca799fbfa821231956728f3999d99d1e686167244103

Aliases

arxiv: math-ph/9910032 · arxiv_version: math-ph/9910032v1 · doi: 10.48550/arxiv.math-ph/9910032 · pith_short_12: VB45UGWGSN3T · pith_short_16: VB45UGWGSN3TQJYV · pith_short_8: VB45UGWG

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/VB45UGWGSN3TQJYVZJ4Z7P5IEE \
  | 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: a879da1ac69377382715ca799fbfa821231956728f3999d99d1e686167244103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7e9bbfe151975037204a9a435b177ea15444a88abc979ee12c9d2440bfe793",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-10-20T21:32:05Z",
    "title_canon_sha256": "ab8f2fffebd3af08412a8b03c18516a015f447905dbfc7f9123ca31ebfd5bbc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9910032",
    "kind": "arxiv",
    "version": 1
  }
}