Pith Number

pith:QNL7PKPT

pith:2019:QNL7PKPTHEQ7BSWHFO4ZEZOCQU

not attested not anchored not stored refs pending

Algebraic conditions for the positivity of sectional curvature

Dan Gregorian Fodor

arxiv:1908.06476 v2 · 2019-08-18 · math.DG · 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{QNL7PKPTHEQ7BSWHFO4ZEZOCQU}

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	2026-07-04T23:58:29.335100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8357f7a9f33921f0cac72bb99265c2851f247ee0cbf370fba7fe3e2b2767d299

Aliases

arxiv: 1908.06476 · arxiv_version: 1908.06476v2 · doi: 10.48550/arxiv.1908.06476 · pith_short_12: QNL7PKPTHEQ7 · pith_short_16: QNL7PKPTHEQ7BSWH · pith_short_8: QNL7PKPT

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/QNL7PKPTHEQ7BSWHFO4ZEZOCQU \
  | 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: 8357f7a9f33921f0cac72bb99265c2851f247ee0cbf370fba7fe3e2b2767d299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c6d434bb6f4ffa906031d326556924bd51551b996aa8c26dd8ee7b8d52b64f1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-18T16:55:52Z",
    "title_canon_sha256": "d1e386e2a8419c98e8175dc936b30f0353e157119d0b9f936cd4dc276e81feb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06476",
    "kind": "arxiv",
    "version": 2
  }
}