Pith Number

pith:H2GSS4C4

pith:2010:H2GSS4C4RCGQHRYH7JFNUHJLB7

not attested not anchored not stored refs pending

Positive scalar curvature, K-area and essentialness

Bernhard Hanke

arxiv:1011.3987 v2 · 2010-11-17 · math.DG · math.GT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2GSS4C4RCGQHRYH7JFNUHJLB7}

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	2026-05-18T04:21:51.604478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e8d29705c888d03c707fa4ada1d2b0ff2a16680665c5b241e074be6ca4929be

Aliases

arxiv: 1011.3987 · arxiv_version: 1011.3987v2 · doi: 10.48550/arxiv.1011.3987 · pith_short_12: H2GSS4C4RCGQ · pith_short_16: H2GSS4C4RCGQHRYH · pith_short_8: H2GSS4C4

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/H2GSS4C4RCGQHRYH7JFNUHJLB7 \
  | 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: 3e8d29705c888d03c707fa4ada1d2b0ff2a16680665c5b241e074be6ca4929be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25938572cf93066987cf420bf514498ac4b7231d1d99334a37148bb69753971d",
    "cross_cats_sorted": [
      "math.GT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-17T16:11:49Z",
    "title_canon_sha256": "7fa79eaf64bf65162a369cac7ca99f12d25d98408ce280697ab7d94312c75b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3987",
    "kind": "arxiv",
    "version": 2
  }
}