Pith Number

pith:646N5ZLJ

pith:2013:646N5ZLJFLWWPSNC3BT4YLBUXB

not attested not anchored not stored refs pending

A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of $Z$-semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-fold

Chien-Hao Liu, Shing-Tung Yau

arxiv:1302.2054 v1 · 2013-02-08 · math.AG · hep-th · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{646N5ZLJFLWWPSNC3BT4YLBUXB}

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	2026-05-18T03:34:12.880223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73cdee5692aed67c9a2d867cc2c34b85ce8394011875f0c07e8de2813e76f87

Aliases

arxiv: 1302.2054 · arxiv_version: 1302.2054v1 · doi: 10.48550/arxiv.1302.2054 · pith_short_12: 646N5ZLJFLWW · pith_short_16: 646N5ZLJFLWWPSNC · pith_short_8: 646N5ZLJ

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/646N5ZLJFLWWPSNC3BT4YLBUXB \
  | 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: f73cdee5692aed67c9a2d867cc2c34b85ce8394011875f0c07e8de2813e76f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23efcd97861a3e09664ef788a62e8748566db92a7f451f4d776560717084387b",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-08T14:55:03Z",
    "title_canon_sha256": "7e5cf80f2a2ecbf9621bff00101f128f30e21d0929b635994230c016e88a7ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2054",
    "kind": "arxiv",
    "version": 1
  }
}