Pith Number

pith:6DU763MJ

pith:2006:6DU763MJNHJCU2IOAAOIWLFYJE

not attested not anchored not stored refs pending

Toroidal Orbifolds a la Vafa-Witten

Jimmy Dillies

arxiv:math/0609714 v1 · 2006-09-26 · math.AG · 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{6DU763MJNHJCU2IOAAOIWLFYJE}

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	2026-05-18T04:18:15.512738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e9ff6d8969d22a690e001c8b2cb8493af03fd3918b1410e2eef4e7916d5c73

Aliases

arxiv: math/0609714 · arxiv_version: math/0609714v1 · doi: 10.48550/arxiv.math/0609714 · pith_short_12: 6DU763MJNHJC · pith_short_16: 6DU763MJNHJCU2IO · pith_short_8: 6DU763MJ

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/6DU763MJNHJCU2IOAAOIWLFYJE \
  | 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: f0e9ff6d8969d22a690e001c8b2cb8493af03fd3918b1410e2eef4e7916d5c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85bb4ed4d51ca329960df365f1dcd2354e18bbfc6fa28195b74d88b70b784c35",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-09-26T16:42:32Z",
    "title_canon_sha256": "549ba559eba18e287141da15510b4342b2534326f06cd5e2517c9c6664309a52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609714",
    "kind": "arxiv",
    "version": 1
  }
}