Pith Number

pith:WA5AJABT

pith:2019:WA5AJABTGZWEYUHNCZ37DSAZSC

not attested not anchored not stored refs pending

Ranks and Singularities of Cubic Surfaces

Anna Seigal, Eunice Sukarto

arxiv:1909.12538 v2 · 2019-09-27 · 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{WA5AJABTGZWEYUHNCZ37DSAZSC}

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	2026-07-05T01:09:39.133797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03a048033366c4c50ed1677f1c81990973f952e843001346ad835ec74faf116

Aliases

arxiv: 1909.12538 · arxiv_version: 1909.12538v2 · doi: 10.48550/arxiv.1909.12538 · pith_short_12: WA5AJABTGZWE · pith_short_16: WA5AJABTGZWEYUHN · pith_short_8: WA5AJABT

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/WA5AJABTGZWEYUHNCZ37DSAZSC \
  | 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: b03a048033366c4c50ed1677f1c81990973f952e843001346ad835ec74faf116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6832c44b3ed9d8756885cf3be54cf3bca99466f73cbb47823e8403edf3fdd71a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-27T07:46:31Z",
    "title_canon_sha256": "6c64acb2ea809cc6795a0d0e199ab8032c1fface99a0de87f2e7339acb208a7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.12538",
    "kind": "arxiv",
    "version": 2
  }
}