Pith Number

pith:I27QXZNW

pith:2024:I27QXZNW7YWIMFVMHCCRVOENGL

not attested not anchored not stored refs pending

Selberg, Ihara and Berkovich

Carlos Matheus, Jialun Li, Wenyu Pan, Zhongkai Tao

arxiv:2412.20754 v1 · 2024-12-30 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I27QXZNW7YWIMFVMHCCRVOENGL}

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	2026-07-05T09:55:21.861214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46bf0be5b6fe2c8616ac38851ab88d32c5f5cbed13667a5ae9b4a482bef73b15

Aliases

arxiv: 2412.20754 · arxiv_version: 2412.20754v1 · doi: 10.48550/arxiv.2412.20754 · pith_short_12: I27QXZNW7YWI · pith_short_16: I27QXZNW7YWIMFVM · pith_short_8: I27QXZNW

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/I27QXZNW7YWIMFVMHCCRVOENGL \
  | 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: 46bf0be5b6fe2c8616ac38851ab88d32c5f5cbed13667a5ae9b4a482bef73b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc588c46c7345ab953c5e42c4fcbf609f0ab2aaa4d45c06658740678893076bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-30T06:55:52Z",
    "title_canon_sha256": "86cedf7c1a97affe22d5c6b9633df8c1fa6d47e5866fb10a09f69323e0137563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20754",
    "kind": "arxiv",
    "version": 1
  }
}