Pith Number

pith:FOLXU5KI

pith:2026:FOLXU5KIZLB7YADNQ3VHKW7QI2

not attested not anchored not stored refs pending

Mirror symmetry for the Painlev\'e character varieties

Jo\"el Beimler, Mingyuan Hu, Vivek Shende, William Olsen

arxiv:2606.04965 v1 · 2026-06-03 · math.SG · 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{FOLXU5KIZLB7YADNQ3VHKW7QI2}

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	2026-06-04T01:09:58.441985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b977a7548cac3fc006d86ea755bf0468c77d13164f0efeb56bae2afa2491bde

Aliases

arxiv: 2606.04965 · arxiv_version: 2606.04965v1 · doi: 10.48550/arxiv.2606.04965 · pith_short_12: FOLXU5KIZLB7 · pith_short_16: FOLXU5KIZLB7YADN · pith_short_8: FOLXU5KI

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/FOLXU5KIZLB7YADNQ3VHKW7QI2 \
  | 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: 2b977a7548cac3fc006d86ea755bf0468c77d13164f0efeb56bae2afa2491bde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acaca49f46abe3970a35a4fea5b8898afa556153bf79b14cfdeeab6be1c81025",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-06-03T14:48:33Z",
    "title_canon_sha256": "7e6133b3896b8391616bc45183fc001430651d4a72788f320a101c218a8dd6ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04965",
    "kind": "arxiv",
    "version": 1
  }
}