Pith Number

pith:ELSVA3GX

pith:2015:ELSVA3GXKRBTOUC22E2O32OWBB

not attested not anchored not stored refs pending

Uniqueness of CP^n

Valentino Tosatti

arxiv:1508.05641 v2 · 2015-08-23 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELSVA3GXKRBTOUC22E2O32OWBB}

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	2026-05-18T00:48:10.050768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e5506cd7544337505ad134ede9d6085e31307aca42621c4d6fe60c18ef1b18

Aliases

arxiv: 1508.05641 · arxiv_version: 1508.05641v2 · doi: 10.48550/arxiv.1508.05641 · pith_short_12: ELSVA3GXKRBT · pith_short_16: ELSVA3GXKRBTOUC2 · pith_short_8: ELSVA3GX

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/ELSVA3GXKRBTOUC22E2O32OWBB \
  | 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: 22e5506cd7544337505ad134ede9d6085e31307aca42621c4d6fe60c18ef1b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dcdf91009b818460f2213595142de96a40974970cb93f3c4645005d7ac43d4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-23T18:39:29Z",
    "title_canon_sha256": "b533f14afd259f2118af6a375ef00f621918bc9b12db195066a123e947aa335c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05641",
    "kind": "arxiv",
    "version": 2
  }
}