Pith Number

pith:KOOUC6CK

pith:2026:KOOUC6CKHLZ33N55SWOEWZ36BC

not attested not anchored not stored refs pending

On the Hodge and Tate conjectures for moduli spaces of curves

Sam Payne

arxiv:2605.20453 v1 · 2026-05-19 · 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{KOOUC6CKHLZ33N55SWOEWZ36BC}

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	2026-05-21T01:04:38.479030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539d41784a3af3bdb7bd959c4b677e0883613d8e527b44dc95c63f731111611d

Aliases

arxiv: 2605.20453 · arxiv_version: 2605.20453v1 · doi: 10.48550/arxiv.2605.20453 · pith_short_12: KOOUC6CKHLZ3 · pith_short_16: KOOUC6CKHLZ33N55 · pith_short_8: KOOUC6CK

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/KOOUC6CKHLZ33N55SWOEWZ36BC \
  | 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: 539d41784a3af3bdb7bd959c4b677e0883613d8e527b44dc95c63f731111611d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abbfcd56c31ad161eb3dd601ecc3650dd4d206fcd266097693716cf0ac42bf83",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-19T20:06:00Z",
    "title_canon_sha256": "6c6c0ab542cc7f6d4b1b32739fae55d724af4be0028fe79e1f148a8f8c3c1310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20453",
    "kind": "arxiv",
    "version": 1
  }
}