Pith Number

pith:LJYLZMVG

pith:2019:LJYLZMVG2FSFPQYWPKCCUJAXOS

not attested not anchored not stored refs pending

Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations

Bernd Siebert, Helge Ruddat

arxiv:1907.03794 v1 · 2019-07-08 · 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{LJYLZMVG2FSFPQYWPKCCUJAXOS}

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	2026-05-17T23:41:06.846256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a70bcb2a6d16457c3167a842a241774ba81ccbe35dbd5d0901c0c599d787027

Aliases

arxiv: 1907.03794 · arxiv_version: 1907.03794v1 · doi: 10.48550/arxiv.1907.03794 · pith_short_12: LJYLZMVG2FSF · pith_short_16: LJYLZMVG2FSFPQYW · pith_short_8: LJYLZMVG

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/LJYLZMVG2FSFPQYWPKCCUJAXOS \
  | 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: 5a70bcb2a6d16457c3167a842a241774ba81ccbe35dbd5d0901c0c599d787027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5acdbe3008135984c4f059070af1610fa5016bcd64e7c3121d81a76f62b02b",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-08T18:15:57Z",
    "title_canon_sha256": "67dbc670c8e2614117cc765de1339a66f9b24dc36f32c25193c9818dc750ed70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03794",
    "kind": "arxiv",
    "version": 1
  }
}