Pith Number

pith:BXF76VDB

pith:2017:BXF76VDB6FFCSMIA3VGLH6Z2ZZ

not attested not anchored not stored refs pending

The Tropical Superpotential For $\mathbb{P}^2$

Thomas Prince

arxiv:1703.07620 v2 · 2017-03-22 · 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{BXF76VDB6FFCSMIA3VGLH6Z2ZZ}

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	2026-05-17T23:54:41.871138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dcbff5461f14a293100dd4cb3fb3ace777c56eeaaa7c52eb475c608d29a0a52

Aliases

arxiv: 1703.07620 · arxiv_version: 1703.07620v2 · doi: 10.48550/arxiv.1703.07620 · pith_short_12: BXF76VDB6FFC · pith_short_16: BXF76VDB6FFCSMIA · pith_short_8: BXF76VDB

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/BXF76VDB6FFCSMIA3VGLH6Z2ZZ \
  | 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: 0dcbff5461f14a293100dd4cb3fb3ace777c56eeaaa7c52eb475c608d29a0a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f019547eb825a00621609239880d6c2a03ee47cba35b5c3193d4318cf210970",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-22T12:30:22Z",
    "title_canon_sha256": "57c9fdfb957a16705a5d98decff46234e0b5d2236ee1716cf4b277fdf4bccf8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07620",
    "kind": "arxiv",
    "version": 2
  }
}