Pith Number

pith:VM4EKNBM

pith:2025:VM4EKNBM5W4JZKTY3GMN2ND44Q

not attested not anchored not stored refs pending

Numerical action for endomorphisms

Junyi Xie

arxiv:2502.04779 v1 · 2025-02-07 · math.DS · 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{VM4EKNBM5W4JZKTY3GMN2ND44Q}

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

Arithmetic Degrees are Cohomological Lyapunov Multipliers

Receipt and verification

First computed	2026-07-05T10:10:57.029281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3845342cedb89caa78d998dd347ce41c618d868eb3b6c0e3011f1a3cfd1b93

Aliases

arxiv: 2502.04779 · arxiv_version: 2502.04779v1 · doi: 10.48550/arxiv.2502.04779 · pith_short_12: VM4EKNBM5W4J · pith_short_16: VM4EKNBM5W4JZKTY · pith_short_8: VM4EKNBM

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/VM4EKNBM5W4JZKTY3GMN2ND44Q \
  | 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: ab3845342cedb89caa78d998dd347ce41c618d868eb3b6c0e3011f1a3cfd1b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37680a69aea0b6e410400d14df55b78a1063f5f74210d428b21f4a3150a2997",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-02-07T09:33:40Z",
    "title_canon_sha256": "f30c311ca9f644d044a2e3bb08d584af04b18ddd34496369b4f15f3dd505a6d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04779",
    "kind": "arxiv",
    "version": 1
  }
}