Pith Number

pith:KIHPA7QD

pith:2025:KIHPA7QDOXZQVIXGDUHL6R7SO3

not attested not anchored not stored refs pending

Arithmetic Degrees are Cohomological Lyapunov Multipliers

Jiarui Song, Junyi Xie, She Yang

arxiv:2507.17643 v1 · 2025-07-23 · math.DS · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIHPA7QDOXZQVIXGDUHL6R7SO3}

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	2026-07-05T11:42:11.111537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

520ef07e0375f30aa2e61d0ebf47f276f164f6f5d9d98eb239413e689a834c85

Aliases

arxiv: 2507.17643 · arxiv_version: 2507.17643v1 · doi: 10.48550/arxiv.2507.17643 · pith_short_12: KIHPA7QDOXZQ · pith_short_16: KIHPA7QDOXZQVIXG · pith_short_8: KIHPA7QD

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/KIHPA7QDOXZQVIXGDUHL6R7SO3 \
  | 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: 520ef07e0375f30aa2e61d0ebf47f276f164f6f5d9d98eb239413e689a834c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6954b67d2a1fe9ec53ac51ad0d536e4766b6e5f2532a52e270fdb912e27f8c5e",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-23T16:07:20Z",
    "title_canon_sha256": "68c545e3c50624681b81f214105f15056a01838a09fda01084902325cd848322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17643",
    "kind": "arxiv",
    "version": 1
  }
}