Pith Number

pith:TBGBH2YF

pith:2013:TBGBH2YFVSRHZYFSHOOSZKVXUN

not attested not anchored not stored refs pending

Twisted cubics on cubic fourfolds

Christian Lehn, Christoph Sorger, Duco van Straten, Manfred Lehn

arxiv:1305.0178 v2 · 2013-05-01 · 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{TBGBH2YFVSRHZYFSHOOSZKVXUN}

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	2026-05-18T03:18:05.961170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984c13eb05aca27ce0b23b9d2caab7a35cdaf81bbf08b9cacebc93d300ca9fd2

Aliases

arxiv: 1305.0178 · arxiv_version: 1305.0178v2 · doi: 10.48550/arxiv.1305.0178 · pith_short_12: TBGBH2YFVSRH · pith_short_16: TBGBH2YFVSRHZYFS · pith_short_8: TBGBH2YF

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/TBGBH2YFVSRHZYFSHOOSZKVXUN \
  | 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: 984c13eb05aca27ce0b23b9d2caab7a35cdaf81bbf08b9cacebc93d300ca9fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b955de124dbfed62baee223c27eec2a32f87d4eac37bdd7b99233b79d91dccc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-01T14:16:10Z",
    "title_canon_sha256": "327e61c8f05c5b54d9b24ee6f8808b745d19e5aeba97e4bdb4db73073fbc2cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0178",
    "kind": "arxiv",
    "version": 2
  }
}