Pith Number

pith:XOAIKTNT

pith:1998:XOAIKTNTMDM6NTDQE6VL4QMOVB

not attested not anchored not stored refs pending

Categorical Mirror Symmetry: The Elliptic Curve

Alexander Polishchuk, Eric Zaslow

arxiv:math/9801119 v3 · 1998-01-26 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOAIKTNTMDM6NTDQE6VL4QMOVB}

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

Landau-Ginzburg Paradigm of Topological Phases

Receipt and verification

First computed	2026-07-04T15:27:33.053198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb80854db360d9e6cc7027aabe418ea86a81c0311a70dc64cc6f186e898e89e8

Aliases

arxiv: math/9801119 · arxiv_version: math/9801119v3 · doi: 10.48550/arxiv.math/9801119 · pith_short_12: XOAIKTNTMDM6 · pith_short_16: XOAIKTNTMDM6NTDQ · pith_short_8: XOAIKTNT

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/XOAIKTNTMDM6NTDQE6VL4QMOVB \
  | 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: bb80854db360d9e6cc7027aabe418ea86a81c0311a70dc64cc6f186e898e89e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778b2f369323501fd2d1c352e02fa95356559bf1b2e39d151a6fe6f0fc08dfc9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-01-26T20:00:04Z",
    "title_canon_sha256": "55eb133b0250eda539b7d001bb44bb3f518c03f748f02bb51cd179c6f81b8ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9801119",
    "kind": "arxiv",
    "version": 3
  }
}