Pith Number

pith:6ZM345DF

pith:2015:6ZM345DFLEBUD4XF2PKZEKW3Y5

not attested not anchored not stored refs pending

Points on singular Frobenius nonclassical curves

Herivelto Borges, Masaaki Homma

arxiv:1511.00339 v1 · 2015-11-02 · 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{6ZM345DFLEBUD4XF2PKZEKW3Y5}

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	2026-05-18T01:28:12.594902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f659be7465590341f2e5d3d5922adbc74216c683330c3a0e1474b91d3d24f83d

Aliases

arxiv: 1511.00339 · arxiv_version: 1511.00339v1 · doi: 10.48550/arxiv.1511.00339 · pith_short_12: 6ZM345DFLEBU · pith_short_16: 6ZM345DFLEBUD4XF · pith_short_8: 6ZM345DF

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/6ZM345DFLEBUD4XF2PKZEKW3Y5 \
  | 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: f659be7465590341f2e5d3d5922adbc74216c683330c3a0e1474b91d3d24f83d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef004de1406969d15ed04f4d2ef72c5374191e9259fadeacf5b6067ddc35f37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-02T00:09:18Z",
    "title_canon_sha256": "722986cc0b7ccb53254d20d3efe6c3d8d0d09165c9a058b8f8cf61a39fd9ddf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00339",
    "kind": "arxiv",
    "version": 1
  }
}