Pith Number

pith:3D4PGEOS

pith:2015:3D4PGEOSMWSQJKYOYIJNB6D63E

not attested not anchored not stored refs pending

Flat 3-webs of degree one on the projective plane

A. Beltr\'an, D. Mar\'in, M. Falla Luza

arxiv:1509.05587 v1 · 2015-09-18 · 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{3D4PGEOSMWSQJKYOYIJNB6D63E}

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	2026-05-18T01:32:42.782428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f8f311d265a504ab0ec212d0f87ed90920af3cf23b6417c3cf42a7eccd4b1c

Aliases

arxiv: 1509.05587 · arxiv_version: 1509.05587v1 · doi: 10.48550/arxiv.1509.05587 · pith_short_12: 3D4PGEOSMWSQ · pith_short_16: 3D4PGEOSMWSQJKYO · pith_short_8: 3D4PGEOS

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/3D4PGEOSMWSQJKYOYIJNB6D63E \
  | 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: d8f8f311d265a504ab0ec212d0f87ed90920af3cf23b6417c3cf42a7eccd4b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28268500c3267dd852226770c9c6b28131f36438543a7b63e4b22827d4625ae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-18T11:01:53Z",
    "title_canon_sha256": "f9a9800d3f23b3defa4adcf51a2e30047b9a41111dcde4832cc4b2be7257f92a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05587",
    "kind": "arxiv",
    "version": 1
  }
}