Pith Number

pith:N3JKTNSH

pith:2009:N3JKTNSHVKHBYNX5KABTX45SRA

not attested not anchored not stored refs pending

The Coherent-Constructible Correspondence and Homological Mirror Symmetry for Toric Varieties

Bohan Fang, Chiu-Chu Melissa Liu, David Treumann, Eric Zaslow

arxiv:0901.4276 v2 · 2009-01-27 · math.AG · 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{N3JKTNSHVKHBYNX5KABTX45SRA}

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	2026-05-18T04:30:03.011539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ed2a9b647aa8e1c36fd50033bf3b28808b8f456149b3a81cba96267887de46b

Aliases

arxiv: 0901.4276 · arxiv_version: 0901.4276v2 · doi: 10.48550/arxiv.0901.4276 · pith_short_12: N3JKTNSHVKHB · pith_short_16: N3JKTNSHVKHBYNX5 · pith_short_8: N3JKTNSH

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/N3JKTNSHVKHBYNX5KABTX45SRA \
  | 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: 6ed2a9b647aa8e1c36fd50033bf3b28808b8f456149b3a81cba96267887de46b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb80095ea7c58387b46e8d265d68a58bbadaeaf1b9b9930249f85db0b6e17c95",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-01-27T16:17:25Z",
    "title_canon_sha256": "9ef0017a6f6d4cdd99105cb3676d2f7181cb1567e7c2410763b135a4451f9532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4276",
    "kind": "arxiv",
    "version": 2
  }
}