Pith Number

pith:LLQLYFSZ

pith:2019:LLQLYFSZ2PK5XN2U6HJQPI65OX

not attested not anchored not stored refs pending

Logarithmic Gromov-Witten theory with expansions

Dhruv Ranganathan

arxiv:1903.09006 v3 · 2019-03-21 · 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{LLQLYFSZ2PK5XN2U6HJQPI65OX}

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

2 papers in Pith

Cut and paste invariants of moduli spaces of stable maps to toric surfaces

The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

Receipt and verification

First computed	2026-07-05T04:19:21.102891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae0bc1659d3d5dbb754f1d307a3dd75f219f4ddad8b9b2b1dd899ca8ad219af

Aliases

arxiv: 1903.09006 · arxiv_version: 1903.09006v3 · doi: 10.48550/arxiv.1903.09006 · pith_short_12: LLQLYFSZ2PK5 · pith_short_16: LLQLYFSZ2PK5XN2U · pith_short_8: LLQLYFSZ

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/LLQLYFSZ2PK5XN2U6HJQPI65OX \
  | 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: 5ae0bc1659d3d5dbb754f1d307a3dd75f219f4ddad8b9b2b1dd899ca8ad219af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3ef55ff57f8ac86c4be026c8032ac33d2a5da99d6aaeef6b6ff40a856a9dc40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-21T13:53:50Z",
    "title_canon_sha256": "c6359abfadc8e29eb8662fb66807cf10e7abc44c1668421c89946294e97f8fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09006",
    "kind": "arxiv",
    "version": 3
  }
}