Pith Number

pith:WN2WGN2V

pith:2010:WN2WGN2VYGGJ3INVBWULPYAEKT

not attested not anchored not stored refs pending

D-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-Grothendieck

Chien-Hao Liu, Shing-Tung Yau

arxiv:1012.0525 v1 · 2010-12-02 · math.SG · 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{WN2WGN2VYGGJ3INVBWULPYAEKT}

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	2026-05-18T04:34:17.725895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b375633755c18c9da1b50da8b7e00454e5c3d87fdd1f9a33052fee6b2aea02a1

Aliases

arxiv: 1012.0525 · arxiv_version: 1012.0525v1 · doi: 10.48550/arxiv.1012.0525 · pith_short_12: WN2WGN2VYGGJ · pith_short_16: WN2WGN2VYGGJ3INV · pith_short_8: WN2WGN2V

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/WN2WGN2VYGGJ3INVBWULPYAEKT \
  | 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: b375633755c18c9da1b50da8b7e00454e5c3d87fdd1f9a33052fee6b2aea02a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e25708f78dffe7d3d37259d17b9e338d572147793fdf74a476e567078d0f5c",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-12-02T18:07:42Z",
    "title_canon_sha256": "91fec0462bec2df1ec885089d95f7400c45ad1533d4162f616cb21be5a9d82a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0525",
    "kind": "arxiv",
    "version": 1
  }
}