Pith Number

pith:2AFVKGGJ

pith:2015:2AFVKGGJYXSONMR3LQFTVFAUA3

not attested not anchored not stored refs pending

Extactic divisors for webs and lines on projective surfaces

Jorge Vitorio Pereira, Maycol Falla Luza

arxiv:1509.05435 v1 · 2015-09-17 · 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{2AFVKGGJYXSONMR3LQFTVFAUA3}

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	2026-05-18T01:32:43.203183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d00b5518c9c5e4e6b23b5c0b3a941406ed2575d383629aee8bcec4b883201484

Aliases

arxiv: 1509.05435 · arxiv_version: 1509.05435v1 · doi: 10.48550/arxiv.1509.05435 · pith_short_12: 2AFVKGGJYXSO · pith_short_16: 2AFVKGGJYXSONMR3 · pith_short_8: 2AFVKGGJ

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/2AFVKGGJYXSONMR3LQFTVFAUA3 \
  | 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: d00b5518c9c5e4e6b23b5c0b3a941406ed2575d383629aee8bcec4b883201484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4f6d2042e3ec1a4afc53cf0e821fe35a2b86dc65acdaad5d65956c991cdd9f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-17T20:33:54Z",
    "title_canon_sha256": "10b46651a72701da420da1f4de2ed7f20768f845ce4895876cfc168e5ac2d43f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05435",
    "kind": "arxiv",
    "version": 1
  }
}