Pith Number

pith:UDILUEZ5

pith:1998:UDILUEZ56QMWJ5FJ6LWP6UKV6D

not attested not anchored not stored refs pending

Twisted sectors for tensor product vertex operator algebras associated to permutation groups

C. Dong, G. Mason, K. Barron

arxiv:math/9803118 v2 · 1998-03-24 · math.QA · 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{UDILUEZ56QMWJ5FJ6LWP6UKV6D}

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	2026-07-04T16:10:09.213790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d0ba133df41964f4a9f2ecff5155f0c4638f87d8efd6ff0c6cbe58c6434a7a

Aliases

arxiv: math/9803118 · arxiv_version: math/9803118v2 · doi: 10.48550/arxiv.math/9803118 · pith_short_12: UDILUEZ56QMW · pith_short_16: UDILUEZ56QMWJ5FJ · pith_short_8: UDILUEZ5

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/UDILUEZ56QMWJ5FJ6LWP6UKV6D \
  | 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: a0d0ba133df41964f4a9f2ecff5155f0c4638f87d8efd6ff0c6cbe58c6434a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c479b7770233a1e2d664391071202631d5e2b1aa5b2930ea650ca47d81fa15f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1998-03-24T22:31:07Z",
    "title_canon_sha256": "f3d0e8a088ef92b9a390c17f8fe40c0cfd6ab3c00a02f282c5e5ada386d30001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803118",
    "kind": "arxiv",
    "version": 2
  }
}