Pith Number

pith:HMODNYMF

pith:2008:HMODNYMFSJSYEG4W2TAIRBY3GW

not attested not anchored not stored refs pending

Mirror symmetry for toric Fano manifolds via SYZ transformations

Kwokwai Chan, Naichung Conan Leung

arxiv:0801.2830 v4 · 2008-01-18 · math.SG · 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{HMODNYMFSJSYEG4W2TAIRBY3GW}

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	2026-05-18T02:58:46.920535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1c36e1859265821b96d4c088871b35abeb1168f9c5433179a0582b6dd2dc76

Aliases

arxiv: 0801.2830 · arxiv_version: 0801.2830v4 · doi: 10.48550/arxiv.0801.2830 · pith_short_12: HMODNYMFSJSY · pith_short_16: HMODNYMFSJSYEG4W · pith_short_8: HMODNYMF

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/HMODNYMFSJSYEG4W2TAIRBY3GW \
  | 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: 3b1c36e1859265821b96d4c088871b35abeb1168f9c5433179a0582b6dd2dc76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f56f7a9eeafc34a56453258b6d17572ba813ffb701090666cfac83b654301c44",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-01-18T08:29:32Z",
    "title_canon_sha256": "ecee4cbb487435be58565b9a7197a3413742160a2420bceea94be7c625e9e499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2830",
    "kind": "arxiv",
    "version": 4
  }
}