Pith Number

pith:ZAKM5SYI

pith:2020:ZAKM5SYIVKOBFKI45532DHX7PJ

not attested not anchored not stored refs pending

Combinatorial proof for the rationality of the bivariate generating series of maps in positive genus

Marie Albenque, Mathias Lepoutre

arxiv:2007.07692 v4 · 2020-07-15 · 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{ZAKM5SYIVKOBFKI45532DHX7PJ}

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

Differential equations for bipartite maps with bounded face degrees

Receipt and verification

First computed	2026-07-05T08:32:07.384690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c814cecb08aa9c12a91cef77a19eff7a6e987a9a4232507ab7b849cb47e72ca9

Aliases

arxiv: 2007.07692 · arxiv_version: 2007.07692v4 · doi: 10.48550/arxiv.2007.07692 · pith_short_12: ZAKM5SYIVKOB · pith_short_16: ZAKM5SYIVKOBFKI4 · pith_short_8: ZAKM5SYI

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/ZAKM5SYIVKOBFKI45532DHX7PJ \
  | 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: c814cecb08aa9c12a91cef77a19eff7a6e987a9a4232507ab7b849cb47e72ca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "438da4f089e34bdff5d1fce7ab4912d56145589c769e550d68d56e4552e36ee6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-15T14:00:55Z",
    "title_canon_sha256": "da1e46cff71f095d1574a691a6b0d9dc9cc569adfaf18763da12cd92bbc91c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.07692",
    "kind": "arxiv",
    "version": 4
  }
}