Pith Number

pith:3TV3N4VF

pith:2000:3TV3N4VFJDXO4G2VE2JVRQHDV4

not attested not anchored not stored refs pending

Symmetric products, permutation orbifolds and discrete torsion

P. Bantay

arxiv:hep-th/0004025 v1 · 2000-04-05 · 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{3TV3N4VFJDXO4G2VE2JVRQHDV4}

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

Holographic Equidistribution

Receipt and verification

First computed	2026-07-04T14:31:20.465156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcebb6f2a548eeee1b55269358c0e3af3cacf29823b81f0fa235a09ffeaa2640

Aliases

arxiv: hep-th/0004025 · arxiv_version: hep-th/0004025v1 · doi: 10.48550/arxiv.hep-th/0004025 · pith_short_12: 3TV3N4VFJDXO · pith_short_16: 3TV3N4VFJDXO4G2V · pith_short_8: 3TV3N4VF

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/3TV3N4VFJDXO4G2VE2JVRQHDV4 \
  | 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: dcebb6f2a548eeee1b55269358c0e3af3cacf29823b81f0fa235a09ffeaa2640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a5d544ccba0848b39888249270a41585f4d8c538459407e7ea1a23ebb88fb7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-04-05T11:21:50Z",
    "title_canon_sha256": "aeabc27cc9b997966ec39dc760e17af909f5a67ece7427baeb3d79b372f7aa53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0004025",
    "kind": "arxiv",
    "version": 1
  }
}