Pith Number

pith:BW3JFC5Y

pith:2009:BW3JFC5YYQPAR3UD2KRN5B6OT6

not attested not anchored not stored refs pending

Klein's Curve

H.W. Braden, T.P. Northover

arxiv:0905.4202 v2 · 2009-05-26 · math.AG · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BW3JFC5YYQPAR3UD2KRN5B6OT6}

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	2026-05-18T02:34:46.163291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db6928bb8c41e08ee83d2a2de87ce9f83bf1763143c3a91177f4fa15e51191c

Aliases

arxiv: 0905.4202 · arxiv_version: 0905.4202v2 · doi: 10.48550/arxiv.0905.4202 · pith_short_12: BW3JFC5YYQPA · pith_short_16: BW3JFC5YYQPAR3UD · pith_short_8: BW3JFC5Y

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/BW3JFC5YYQPAR3UD2KRN5B6OT6 \
  | 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: 0db6928bb8c41e08ee83d2a2de87ce9f83bf1763143c3a91177f4fa15e51191c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c4d6d931374ce59cf1832f86f36b4cdf853bc9eade97ce6ac7aa35e663532c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-26T13:51:42Z",
    "title_canon_sha256": "53b5b60b2425525c7840b5bfce525cbbf69972e4688e1287257958f2c6f1a5d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4202",
    "kind": "arxiv",
    "version": 2
  }
}