Pith Number

pith:7TRVK2HO

pith:2001:7TRVK2HOBLMEHETC7ZQR6QB7BQ

not attested not anchored not stored refs pending

Fibrewise T-Duality for D-Branes on Elliptic Calabi-Yau

Bjorn Andreas, Daniel Hernandez Ruiperez, Gottfried Curio, Shing-Tung Yau

arxiv:hep-th/0101129 v1 · 2001-01-19 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TRVK2HOBLMEHETC7ZQR6QB7BQ}

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	2026-07-04T17:21:03.864278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce35568ee0ad8439262fe611f403f0c1ed2220d127de418c03c0b49ec2da268

Aliases

arxiv: hep-th/0101129 · arxiv_version: hep-th/0101129v1 · doi: 10.48550/arxiv.hep-th/0101129 · pith_short_12: 7TRVK2HOBLME · pith_short_16: 7TRVK2HOBLMEHETC · pith_short_8: 7TRVK2HO

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/7TRVK2HOBLMEHETC7ZQR6QB7BQ \
  | 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: fce35568ee0ad8439262fe611f403f0c1ed2220d127de418c03c0b49ec2da268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcdfae2af968bcad5abd6bbc7e24aeaccd1b176dbe1ea9d4122684bb9b1d856c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-01-19T15:54:16Z",
    "title_canon_sha256": "6467a023a285b4e31ace8a7e4dcda4d1373ff792cdc198c192cb8639cb43b98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0101129",
    "kind": "arxiv",
    "version": 1
  }
}