Pith Number

pith:TY3LSPIH

pith:2019:TY3LSPIHP5BEWLNG5SEKBK64CH

not attested not anchored not stored refs pending

Tropical quantum field theory, mirror polyvector fields, and multiplicities of tropical curves

Helge Ruddat, Travis Mandel

arxiv:1902.07183 v2 · 2019-02-19 · math.AG · hep-th · 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{TY3LSPIHP5BEWLNG5SEKBK64CH}

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.

Cited by

1 paper in Pith

Receipt and verification

First computed	2026-07-05T03:51:39.913333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e36b93d077f424b2da6ec88a0abdc11c5dea76b1448b8c44ecd9503cf68d992

Aliases

arxiv: 1902.07183 · arxiv_version: 1902.07183v2 · doi: 10.48550/arxiv.1902.07183 · pith_short_12: TY3LSPIHP5BE · pith_short_16: TY3LSPIHP5BEWLNG · pith_short_8: TY3LSPIH

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/TY3LSPIHP5BEWLNG5SEKBK64CH \
  | 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: 9e36b93d077f424b2da6ec88a0abdc11c5dea76b1448b8c44ecd9503cf68d992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3da5f522c453ee6bc575a38c59d2342017854c6134aac6954fd5328e2b21de7",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-19T18:29:33Z",
    "title_canon_sha256": "623e829f6a3c37ec60f8bebf6796f262b77f581235dc5537ebbc839c00707bc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07183",
    "kind": "arxiv",
    "version": 2
  }
}