Pith Number

pith:LHKRT5WR

pith:2022:LHKRT5WRGJIIFVW3KUQSOZEXB5

not attested not anchored not stored refs pending

Moduli of relative stable maps to $\mathbb{P}^1$: cut-and-paste invariants

Siddarth Kannan

arxiv:2202.05617 v2 · 2022-02-11 · 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{LHKRT5WRGJIIFVW3KUQSOZEXB5}

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

Universality for tropical and logarithmic maps

Receipt and verification

First computed	2026-07-05T04:02:22.946384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d519f6d1325082d6db55212764970f4bde83988ad49b0630fedf0416eac1c7

Aliases

arxiv: 2202.05617 · arxiv_version: 2202.05617v2 · doi: 10.48550/arxiv.2202.05617 · pith_short_12: LHKRT5WRGJII · pith_short_16: LHKRT5WRGJIIFVW3 · pith_short_8: LHKRT5WR

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/LHKRT5WRGJIIFVW3KUQSOZEXB5 \
  | 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: 59d519f6d1325082d6db55212764970f4bde83988ad49b0630fedf0416eac1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "947f5144990978c7df009a2b6419a1b019ed5c6d466d39ce81146eab111effba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-02-11T13:58:54Z",
    "title_canon_sha256": "c53458a472e58f6e60a7502ad92f7eea11b5308d3dd0ffc441fdeb04e5779c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05617",
    "kind": "arxiv",
    "version": 2
  }
}