Pith Number

pith:WAAKPLKN

pith:2007:WAAKPLKNDQPXLBIQ65VW5VSYY2

not attested not anchored not stored refs pending

Computation of highly ramified coverings

Alexander Kitaev, Raimundas Vidunas

arxiv:0705.3134 v1 · 2007-05-22 · math.AG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAAKPLKNDQPXLBIQ65VW5VSYY2}

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	2026-05-18T03:11:33.965438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b000a7ad4d1c1f758510f76b6ed658c687363686697d7582e68c92cf595499ea

Aliases

arxiv: 0705.3134 · arxiv_version: 0705.3134v1 · doi: 10.48550/arxiv.0705.3134 · pith_short_12: WAAKPLKNDQPX · pith_short_16: WAAKPLKNDQPXLBIQ · pith_short_8: WAAKPLKN

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/WAAKPLKNDQPXLBIQ65VW5VSYY2 \
  | 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: b000a7ad4d1c1f758510f76b6ed658c687363686697d7582e68c92cf595499ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a4eca45103d3678e79ffedaa2a76fe2272d46eb76c3bf81980e021e7391752",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-05-22T11:20:22Z",
    "title_canon_sha256": "307dc2b37c385e14ad4edb2b2f75db96a255434da3dff348c1bdbd60bf9e4f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3134",
    "kind": "arxiv",
    "version": 1
  }
}