Pith Number

pith:3FXM5ZII

pith:2011:3FXM5ZIIAA3N6HVBL66G4PDGMD

not attested not anchored not stored refs pending

Geometry of rays-positive manifolds

Andreas Leopold Knutsen, Antonio Lanteri, Carla Novelli, Mauro C. Beltrametti

arxiv:1108.0897 v1 · 2011-08-03 · 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{3FXM5ZIIAA3N6HVBL66G4PDGMD}

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	2026-05-18T04:16:21.828855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d96ecee5080036df1ea15fbc6e3c6660f3d03b5310c29a4d13fdd11ce06a1096

Aliases

arxiv: 1108.0897 · arxiv_version: 1108.0897v1 · doi: 10.48550/arxiv.1108.0897 · pith_short_12: 3FXM5ZIIAA3N · pith_short_16: 3FXM5ZIIAA3N6HVB · pith_short_8: 3FXM5ZII

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/3FXM5ZIIAA3N6HVBL66G4PDGMD \
  | 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: d96ecee5080036df1ea15fbc6e3c6660f3d03b5310c29a4d13fdd11ce06a1096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e62b2561940f8b989b9ab3593ba51f3b3e5e518bd1f458162878ff74cb1ea023",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-03T17:18:29Z",
    "title_canon_sha256": "d1cc9a578de16c553ee409337cbb83152e39c94180ff18f06d02aef90784add2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0897",
    "kind": "arxiv",
    "version": 1
  }
}