Pith Number

pith:HJM6LRHZ

pith:2009:HJM6LRHZT3S2MI3XWUREPP5EFY

not attested not anchored not stored refs pending

The Coherent-Constructible Correspondence for Toric Deligne-Mumford Stacks

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

arxiv:0911.4711 v2 · 2009-11-24 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJM6LRHZT3S2MI3XWUREPP5EFY}

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	2026-05-18T02:54:47.595895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a59e5c4f99ee5a62377b52247bfa42e0b739b5d4aaf847467246c6cf4316ebd

Aliases

arxiv: 0911.4711 · arxiv_version: 0911.4711v2 · doi: 10.48550/arxiv.0911.4711 · pith_short_12: HJM6LRHZT3S2 · pith_short_16: HJM6LRHZT3S2MI3X · pith_short_8: HJM6LRHZ

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/HJM6LRHZT3S2MI3XWUREPP5EFY \
  | 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: 3a59e5c4f99ee5a62377b52247bfa42e0b739b5d4aaf847467246c6cf4316ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b6d4f558a38d80d19d12323732471a15572f0d20c3b9d5895e4a4420d5ef7a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-24T20:34:46Z",
    "title_canon_sha256": "0219427e15f4ff1dbb40694c78bf10627bc4259a39c9e319e39f236f88f3a715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4711",
    "kind": "arxiv",
    "version": 2
  }
}