Pith Number

pith:54IY77WW

pith:2008:54IY77WWUT34J5VB7ID6IVTRNH

not attested not anchored not stored refs pending

Surfaces with p_g=q=1, K^2=8 and nonbirtional bicanonical map

Giuseppe Borrelli

arxiv:0808.3286 v1 · 2008-08-25 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54IY77WWUT34J5VB7ID6IVTRNH}

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	2026-07-04T15:13:49.392372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef118ffed6a4f7c4f6a1fa07e4567169d1e206d743683820450e2a8c7191cbbd

Aliases

arxiv: 0808.3286 · arxiv_version: 0808.3286v1 · doi: 10.48550/arxiv.0808.3286 · pith_short_12: 54IY77WWUT34 · pith_short_16: 54IY77WWUT34J5VB · pith_short_8: 54IY77WW

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/54IY77WWUT34J5VB7ID6IVTRNH \
  | 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: ef118ffed6a4f7c4f6a1fa07e4567169d1e206d743683820450e2a8c7191cbbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d4ebdd9300129430aec468f948c79432f4479e3b808095b21efd43a6be75ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-08-25T01:11:39Z",
    "title_canon_sha256": "e421f1dc8c43f9cd5239cc71b279cfb0d3a84bd6e51c6eac360f047cebe1e1d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3286",
    "kind": "arxiv",
    "version": 1
  }
}