Pith Number

pith:B5EFQ4SB

pith:2000:B5EFQ4SB6MOBFS7KETTWTIDKLS

not attested not anchored not stored refs pending

Null Vectors in Logarithmic Conformal Field Theory

Michael A.I. Flohr

arxiv:hep-th/0009137 v1 · 2000-09-18 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5EFQ4SB6MOBFS7KETTWTIDKLS}

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.

Cited by

1 paper in Pith

Logarithmic operators in $c=0$ bulk CFTs

Receipt and verification

First computed	2026-07-04T14:31:24.872730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f48587241f31c12cbea24e769a06a5c92c4b22042d9cc2c01cbd5ffddf7bc24

Aliases

arxiv: hep-th/0009137 · arxiv_version: hep-th/0009137v1 · doi: 10.48550/arxiv.hep-th/0009137 · pith_short_12: B5EFQ4SB6MOB · pith_short_16: B5EFQ4SB6MOBFS7K · pith_short_8: B5EFQ4SB

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/B5EFQ4SB6MOBFS7KETTWTIDKLS \
  | 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: 0f48587241f31c12cbea24e769a06a5c92c4b22042d9cc2c01cbd5ffddf7bc24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1faa5ed8c283b0fa26f1cd780b46eac0db817ec06cac95db167e3c676c91e3d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-09-18T15:29:49Z",
    "title_canon_sha256": "85757f484471d2061a93d9adc547ac0b001d27a100fc1c6a0e51d62d65fdcc83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0009137",
    "kind": "arxiv",
    "version": 1
  }
}