Pith Number

pith:SNZUSDU2

pith:2012:SNZUSDU2V3OPCG2BGVGKESEQBL

not attested not anchored not stored refs pending

Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions

Andreas Kollross, Megan M. Kerr

arxiv:1203.2371 v2 · 2012-03-11 · 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{SNZUSDU2V3OPCG2BGVGKESEQBL}

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	2026-05-18T03:41:58.760283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9373490e9aaedcf11b41354ca248900ac65a71a7411fdec40213ed54743e417e

Aliases

arxiv: 1203.2371 · arxiv_version: 1203.2371v2 · doi: 10.48550/arxiv.1203.2371 · pith_short_12: SNZUSDU2V3OP · pith_short_16: SNZUSDU2V3OPCG2B · pith_short_8: SNZUSDU2

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/SNZUSDU2V3OPCG2BGVGKESEQBL \
  | 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: 9373490e9aaedcf11b41354ca248900ac65a71a7411fdec40213ed54743e417e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b88323815e31a8739d056e61a445d884e6e6db51d669c3231d6a8e4b3edbf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-11T20:25:18Z",
    "title_canon_sha256": "7030fd4448f848e06af4a16b52f07e20fd6b5850daa847d09695a02fe29da1a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2371",
    "kind": "arxiv",
    "version": 2
  }
}