Pith Number

pith:PRCOLCO2

pith:2019:PRCOLCO2LCQRNJYAUDLNKNYWTR

not attested not anchored not stored refs pending

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture

Alexandr Popolitov, Reinier Kramer, Sergey Shadrin

arxiv:1909.02302 v3 · 2019-09-05 · 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{PRCOLCO2LCQRNJYAUDLNKNYWTR}

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	2026-07-05T04:51:50.941635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c44e589da58a116a700a0d6d537169c5239ac8dc6c1a1264db82d841964d07b

Aliases

arxiv: 1909.02302 · arxiv_version: 1909.02302v3 · doi: 10.48550/arxiv.1909.02302 · pith_short_12: PRCOLCO2LCQR · pith_short_16: PRCOLCO2LCQRNJYA · pith_short_8: PRCOLCO2

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/PRCOLCO2LCQRNJYAUDLNKNYWTR \
  | 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: 7c44e589da58a116a700a0d6d537169c5239ac8dc6c1a1264db82d841964d07b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71b9cbb3e939c4080bb1cc270517917e0f6e49380d1a1a0df185cf838966568",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-05T10:20:56Z",
    "title_canon_sha256": "d46a5311ec94f5d909581381c4690f36623d2286e8905c0af288f0127805ceb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02302",
    "kind": "arxiv",
    "version": 3
  }
}