Pith Number

pith:TPIUPQU3

pith:2015:TPIUPQU3NWDN64VQY2U2U3HO4H

not attested not anchored not stored refs pending

A few questions about curves on surfaces

Andreas Leopold Knutsen, Ciro Ciliberto, Damiano Testa, John Lesieutre, Rick Miranda, Victor Lozovanu, Yusuf Mustopa

arxiv:1511.06618 v1 · 2015-11-20 · 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{TPIUPQU3NWDN64VQY2U2U3HO4H}

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	2026-05-18T01:26:24.207324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bd147c29b6d86df72b0c6a9aa6ceee1c0652ced1547599701a7496125fcdbf5

Aliases

arxiv: 1511.06618 · arxiv_version: 1511.06618v1 · doi: 10.48550/arxiv.1511.06618 · pith_short_12: TPIUPQU3NWDN · pith_short_16: TPIUPQU3NWDN64VQ · pith_short_8: TPIUPQU3

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/TPIUPQU3NWDN64VQY2U2U3HO4H \
  | 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: 9bd147c29b6d86df72b0c6a9aa6ceee1c0652ced1547599701a7496125fcdbf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41643028a9ff867888fd2a6d977229877c9f1b99d9182268b5a973ff671c6c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-20T14:43:32Z",
    "title_canon_sha256": "e57999423301f4749c09b17b474cc75927d33f30f7510e453503d09f0a1a2e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06618",
    "kind": "arxiv",
    "version": 1
  }
}