Pith Number

pith:PTND4F6C

pith:2013:PTND4F6CUUELLEH2RGGMU53X5B

not attested not anchored not stored refs pending

Exceptional sequences of maximal length on some surfaces isogenous to a higher product

Kyoung-Seog Lee

arxiv:1311.5839 v2 · 2013-11-22 · 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{PTND4F6CUUELLEH2RGGMU53X5B}

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	2026-05-18T02:51:48.487959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cda3e17c2a508b590fa898cca7777e848e35889a3e28b8aa177a65d221c5ee5

Aliases

arxiv: 1311.5839 · arxiv_version: 1311.5839v2 · doi: 10.48550/arxiv.1311.5839 · pith_short_12: PTND4F6CUUEL · pith_short_16: PTND4F6CUUELLEH2 · pith_short_8: PTND4F6C

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/PTND4F6CUUELLEH2RGGMU53X5B \
  | 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: 7cda3e17c2a508b590fa898cca7777e848e35889a3e28b8aa177a65d221c5ee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a154e45e1ca1a7eef0624086c2310177a717cf74a49e62818ec7b0f99f2cd43b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-22T18:37:24Z",
    "title_canon_sha256": "56e2f5ce61e111e54bf00341f810493e3db6013f17d4be959e540f4ffdb53144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5839",
    "kind": "arxiv",
    "version": 2
  }
}