Pith Number

pith:FBKGPBAO

pith:2000:FBKGPBAOF7LDOJIVE5VTZBVCXY

not attested not anchored not stored refs pending

Locality and modular invariance in 2D conformal QFT

K.-H. Rehren

arxiv:math-ph/0009004 v1 · 2000-09-04 · 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{FBKGPBAOF7LDOJIVE5VTZBVCXY}

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	2026-07-04T14:33:36.430740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285467840e2fd6372515276b3c86a2be0bf38e9da5183dac5033c5bc80665d49

Aliases

arxiv: math-ph/0009004 · arxiv_version: math-ph/0009004v1 · doi: 10.48550/arxiv.math-ph/0009004 · pith_short_12: FBKGPBAOF7LD · pith_short_16: FBKGPBAOF7LDOJIV · pith_short_8: FBKGPBAO

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/FBKGPBAOF7LDOJIVE5VTZBVCXY \
  | 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: 285467840e2fd6372515276b3c86a2be0bf38e9da5183dac5033c5bc80665d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da2c0a81afc87728792dad3e6e4759a4856cf7548292618db51c2cbc2e498c9f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-09-04T12:43:37Z",
    "title_canon_sha256": "00ca3f8d50244ab618d65a3f31cbcd37720d874b2f282d7e0cae04edf9999ac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0009004",
    "kind": "arxiv",
    "version": 1
  }
}