Pith Number

pith:QR6X2JN3

pith:2026:QR6X2JN3IL3LUQATEIMABBLXGJ

not attested not anchored not stored refs pending

Improved bounds on the number of holomorphic maps between compact Riemann surfaces

Masaharu Tanabe

arxiv:2605.21137 v1 · 2026-05-20 · math.CV · 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{QR6X2JN3IL3LUQATEIMABBLXGJ}

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	2026-05-21T01:05:39.382661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847d7d25bb42f6ba40132218008577325c5dfbe7a5e7c66213d38683810b9790

Aliases

arxiv: 2605.21137 · arxiv_version: 2605.21137v1 · doi: 10.48550/arxiv.2605.21137 · pith_short_12: QR6X2JN3IL3L · pith_short_16: QR6X2JN3IL3LUQAT · pith_short_8: QR6X2JN3

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/QR6X2JN3IL3LUQATEIMABBLXGJ \
  | 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: 847d7d25bb42f6ba40132218008577325c5dfbe7a5e7c66213d38683810b9790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d6dc7e2c6f599fcbbcd4226a199d7b90fe810ed4058b04f31f403c1807c3dd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-05-20T13:13:07Z",
    "title_canon_sha256": "f50642709b8cdb40a5d11d587939a2a355135f8b479fcdfcc0d834601f0130d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21137",
    "kind": "arxiv",
    "version": 1
  }
}