Pith Number

pith:X7OTWOZS

pith:2009:X7OTWOZSHBUDJQSIJXPSDVP2WL

not attested not anchored not stored refs pending

Geodesics with one self-intersection, and other stories

Igor Rivin

arxiv:0901.2543 v4 · 2009-01-16 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7OTWOZSHBUDJQSIJXPSDVP2WL}

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	2026-05-18T04:18:54.840145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfdd3b3b32386834c2484ddf21d5fab2d92d2febc1d32178f36a47b6c2ac1abd

Aliases

arxiv: 0901.2543 · arxiv_version: 0901.2543v4 · doi: 10.48550/arxiv.0901.2543 · pith_short_12: X7OTWOZSHBUD · pith_short_16: X7OTWOZSHBUDJQSI · pith_short_8: X7OTWOZS

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/X7OTWOZSHBUDJQSIJXPSDVP2WL \
  | 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: bfdd3b3b32386834c2484ddf21d5fab2d92d2febc1d32178f36a47b6c2ac1abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc9bdde3867185dacbae97f670db71f239c2959a252cf9f77ec757285541da7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-01-16T18:36:24Z",
    "title_canon_sha256": "9367d013ce082c23652b13501502261bbbe91c8b6ed019be03ba86647c117b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2543",
    "kind": "arxiv",
    "version": 4
  }
}