Pith Number

pith:MEDBWCKS

pith:2015:MEDBWCKSNHEFXUWGNH32H4TA4R

not attested not anchored not stored refs pending

Toric Degenerations and the Laurent polynomials related to Givental's Landau-Ginzburg models

Andrew Harder, Charles F. Doran

arxiv:1502.02079 v1 · 2015-02-07 · 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{MEDBWCKSNHEFXUWGNH32H4TA4R}

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	2026-05-18T02:27:50.011849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61061b095269c85bd2c669f7a3f260e465a1dc3d248bdbc96af686fb738a87d4

Aliases

arxiv: 1502.02079 · arxiv_version: 1502.02079v1 · doi: 10.48550/arxiv.1502.02079 · pith_short_12: MEDBWCKSNHEF · pith_short_16: MEDBWCKSNHEFXUWG · pith_short_8: MEDBWCKS

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/MEDBWCKSNHEFXUWGNH32H4TA4R \
  | 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: 61061b095269c85bd2c669f7a3f260e465a1dc3d248bdbc96af686fb738a87d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d972996dde03e733e0ba7e389c7ad6a6702c16060c60cb8294009e1d1b980d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-07T00:25:52Z",
    "title_canon_sha256": "9a2cad49769acbcd0bee07c7480cecc78ac0d78403e60373a75d69062e8b8445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02079",
    "kind": "arxiv",
    "version": 1
  }
}