Pith Number

pith:FBEONLJA

pith:2008:FBEONLJAI2ZMUZOMALS47UBBVD

not attested not anchored not stored refs pending

Non-orientable surface-plus-one-relation groups

Peter A. Linnell, Warren Dicks, Yago Antolin

arxiv:0810.2734 v1 · 2008-10-15 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBEONLJAI2ZMUZOMALS47UBBVD}

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	2026-05-18T04:34:46.393341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2848e6ad2046b2ca65cc02e5cfd021a8ff10f3720cde436a1115c22c9e5dfc00

Aliases

arxiv: 0810.2734 · arxiv_version: 0810.2734v1 · doi: 10.48550/arxiv.0810.2734 · pith_short_12: FBEONLJAI2ZM · pith_short_16: FBEONLJAI2ZMUZOM · pith_short_8: FBEONLJA

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/FBEONLJAI2ZMUZOMALS47UBBVD \
  | 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: 2848e6ad2046b2ca65cc02e5cfd021a8ff10f3720cde436a1115c22c9e5dfc00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cb8078f43109f6f6f2a2965124e891c37d8d6e92a0fc450a2fa8e5daa02a570",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-10-15T15:59:54Z",
    "title_canon_sha256": "91628c9350ad50e728091f018968863a3ee9173f8a808149dab06be02a4ab8d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2734",
    "kind": "arxiv",
    "version": 1
  }
}