Pith Number

pith:I62EBNJ2

pith:2016:I62EBNJ2SKJWNLAKZTUHIXE3BP

not attested not anchored not stored refs pending

Non-isotrivial elliptic surfaces with non-zero average root number

Chantal David, Christophe Delaunay, Sandro Bettin

arxiv:1612.03095 v2 · 2016-12-09 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I62EBNJ2SKJWNLAKZTUHIXE3BP}

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	2026-05-18T00:13:37.993013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b440b53a929366ac0acce8745c9b0bc7890991315c59dd91633d7171944687

Aliases

arxiv: 1612.03095 · arxiv_version: 1612.03095v2 · doi: 10.48550/arxiv.1612.03095 · pith_short_12: I62EBNJ2SKJW · pith_short_16: I62EBNJ2SKJWNLAK · pith_short_8: I62EBNJ2

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/I62EBNJ2SKJWNLAKZTUHIXE3BP \
  | 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: 47b440b53a929366ac0acce8745c9b0bc7890991315c59dd91633d7171944687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ac18eb771522f28b7173f5dd21446213c4af9cb70eafb70c3bb639a821b9a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-09T17:22:49Z",
    "title_canon_sha256": "cd8fa3194f6c62a7702924057346314f40986fc3b04fba21d5536621cccfe7b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03095",
    "kind": "arxiv",
    "version": 2
  }
}