Pith Number

pith:AJ2HU66P

pith:2011:AJ2HU66PFBPRXPLDS7BD3NZJKQ

not attested not anchored not stored refs pending

Schr\"odinger equations, deformation theory and $tt^*$-geometry

Huijun Fan

arxiv:1107.1290 v1 · 2011-07-07 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJ2HU66PFBPRXPLDS7BD3NZJKQ}

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

A generalization of Barannikov-Kontsevich theorem

Receipt and verification

First computed	2026-05-18T04:18:44.241033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02747a7bcf285f1bbd6397c23db7295400d7d994eacaa30162cc997d3e8fcfb5

Aliases

arxiv: 1107.1290 · arxiv_version: 1107.1290v1 · doi: 10.48550/arxiv.1107.1290 · pith_short_12: AJ2HU66PFBPR · pith_short_16: AJ2HU66PFBPRXPLD · pith_short_8: AJ2HU66P

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/AJ2HU66PFBPRXPLDS7BD3NZJKQ \
  | 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: 02747a7bcf285f1bbd6397c23db7295400d7d994eacaa30162cc997d3e8fcfb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ee0a0366de1a6a40abe5e112ecdd1edcb087cceae893e2f6bdb542e7a0870d",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-07T04:19:42Z",
    "title_canon_sha256": "03b749cc8f7f45ab94067860c19e3981d6ec0d23aeae24eaa53b06fc1dc31053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1290",
    "kind": "arxiv",
    "version": 1
  }
}