Pith Number

pith:WGNV3LQP

pith:1997:WGNV3LQPPZHT4HD3IUUHGVOYWF

not attested not anchored not stored refs pending

Mirror Principle I

B. Lian, K. Liu, S.T. Yau

arxiv:alg-geom/9712011 v1 · 1997-12-11 · alg-geom · dg-ga · hep-th · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGNV3LQPPZHT4HD3IUUHGVOYWF}

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

Advancements in Functorial Homological Mirror Symmetry

Receipt and verification

First computed	2026-07-04T15:50:36.595475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b19b5dae0f7e4f3e1c7b45287355d8b171804e0fb82c11b67e2aa6a3afe6d23c

Aliases

arxiv: alg-geom/9712011 · arxiv_version: alg-geom/9712011v1 · doi: 10.48550/arxiv.alg-geom/9712011 · pith_short_12: WGNV3LQPPZHT · pith_short_16: WGNV3LQPPZHT4HD3 · pith_short_8: WGNV3LQP

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/WGNV3LQPPZHT4HD3IUUHGVOYWF \
  | 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: b19b5dae0f7e4f3e1c7b45287355d8b171804e0fb82c11b67e2aa6a3afe6d23c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "540be122c10f9c23de997bea38552b07a1b0a237d96276611b07d91cef9873f1",
    "cross_cats_sorted": [
      "dg-ga",
      "hep-th",
      "math.AG",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-12-11T15:15:07Z",
    "title_canon_sha256": "eea9ef4fbf37d84f400d08364ee56bd05cffff2bae9c598f662eb3d48b4a97ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9712011",
    "kind": "arxiv",
    "version": 1
  }
}