Pith Number

pith:TGPZCTLL

pith:2014:TGPZCTLLZEAJDA7R22EM2DQVJA

not attested not anchored not stored refs pending

Rational curves on elliptic surfaces

Douglas Ulmer

arxiv:1407.7845 v3 · 2014-07-29 · 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{TGPZCTLLZEAJDA7R22EM2DQVJA}

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	2026-05-18T02:45:06.106092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999f914d6bc9009183f1d688cd0e15480e2ed293a24974d46a644001fb23d268

Aliases

arxiv: 1407.7845 · arxiv_version: 1407.7845v3 · doi: 10.48550/arxiv.1407.7845 · pith_short_12: TGPZCTLLZEAJ · pith_short_16: TGPZCTLLZEAJDA7R · pith_short_8: TGPZCTLL

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/TGPZCTLLZEAJDA7R22EM2DQVJA \
  | 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: 999f914d6bc9009183f1d688cd0e15480e2ed293a24974d46a644001fb23d268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2caf48aad7e326e86f93b7a618848153f46d4a3b516ec5bbd67f97b11abf39e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-29T19:47:20Z",
    "title_canon_sha256": "c959ff5d851b6a0a289c65a11dc112931b45964615cd9e2d475106fb1b954a98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7845",
    "kind": "arxiv",
    "version": 3
  }
}