Pith Number

pith:QEKJ57H4

pith:2012:QEKJ57H4QITV3FQDI235DUVLJ6

not attested not anchored not stored refs pending

Riemannian Manifolds with positive sectional curvature

Wolfgang Ziller

arxiv:1210.4102 v1 · 2012-10-15 · 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{QEKJ57H4QITV3FQDI235DUVLJ6}

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	2026-05-18T03:43:07.996362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81149efcfc82275d960346b7d1d2ab4fa4b20a89ef63a5a0ababe95517c09275

Aliases

arxiv: 1210.4102 · arxiv_version: 1210.4102v1 · doi: 10.48550/arxiv.1210.4102 · pith_short_12: QEKJ57H4QITV · pith_short_16: QEKJ57H4QITV3FQD · pith_short_8: QEKJ57H4

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/QEKJ57H4QITV3FQDI235DUVLJ6 \
  | 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: 81149efcfc82275d960346b7d1d2ab4fa4b20a89ef63a5a0ababe95517c09275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce6470e9baf85ec495ca6ad04630422a91b4f18aca331f42668b76caa063747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-15T16:55:30Z",
    "title_canon_sha256": "c549c32c3c6ed7e2c3db3b76c08246f0e59d236090b9cdee16653ae15e7b725a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4102",
    "kind": "arxiv",
    "version": 1
  }
}