Pith Number

pith:WQHVIUWH

pith:1997:WQHVIUWH3JPRPWXFVLSFTS4UUN

not attested not anchored not stored refs pending

Toroidal Compactification Without Vector Structure

Edward Witten

arxiv:hep-th/9712028 v1 · 1997-12-03 · 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{WQHVIUWH3JPRPWXFVLSFTS4UUN}

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

2 papers in Pith

String probes, simple currents, and the no global symmetries conjecture

Quark hierarchies and CP violation from the Siegel modular group

Receipt and verification

First computed	2026-07-04T17:25:47.212925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b40f5452c7da5f17dae5aae459cb94a373fa091e20b386894d6203124037c12f

Aliases

arxiv: hep-th/9712028 · arxiv_version: hep-th/9712028v1 · doi: 10.48550/arxiv.hep-th/9712028 · pith_short_12: WQHVIUWH3JPR · pith_short_16: WQHVIUWH3JPRPWXF · pith_short_8: WQHVIUWH

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/WQHVIUWH3JPRPWXFVLSFTS4UUN \
  | 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: b40f5452c7da5f17dae5aae459cb94a373fa091e20b386894d6203124037c12f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "942e8c916e9f1ac0b31a2c8bc2a280425cdc08c747d46f2dfa69cff5c6cd3eb0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-12-03T15:01:03Z",
    "title_canon_sha256": "dbfd2676fa0382a29da5013c95b5dc02beb7615a49139e3bbc368023cd99bd5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9712028",
    "kind": "arxiv",
    "version": 1
  }
}