Pith Number

pith:3VWNLXWY

pith:2012:3VWNLXWYVVGLNEM7CKBJPGWV62

not attested not anchored not stored refs pending

The space of metrics of positive scalar curvature

Bernhard Hanke (Augsburg), Thomas Schick (Georg-August-Universit\"at G\"ottingen), Wolfgang Steimle (Bonn)

arxiv:1212.0068 v3 · 2012-12-01 · math.GT · math.AT · 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{3VWNLXWYVVGLNEM7CKBJPGWV62}

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	2026-05-18T01:36:51.878784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6cd5ded8ad4cb6919f1282979ad5f68e00fb14eb0c1c78d863e265fc635cd9

Aliases

arxiv: 1212.0068 · arxiv_version: 1212.0068v3 · doi: 10.48550/arxiv.1212.0068 · pith_short_12: 3VWNLXWYVVGL · pith_short_16: 3VWNLXWYVVGLNEM7 · pith_short_8: 3VWNLXWY

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/3VWNLXWYVVGLNEM7CKBJPGWV62 \
  | 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: dd6cd5ded8ad4cb6919f1282979ad5f68e00fb14eb0c1c78d863e265fc635cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfc55e36fca608c9da0e3f20b919f642cf04aa20f74656224a0eebc81b7d1dcd",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-01T05:52:28Z",
    "title_canon_sha256": "d71d0e0df82e3076553ca9912bd142d3bcf6c573f6ac08e46251aae1ebe3df96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0068",
    "kind": "arxiv",
    "version": 3
  }
}