Pith Number

pith:4C2M53CR

pith:2012:4C2M53CRQEQM2FROD7C6OCWHOW

not attested not anchored not stored refs pending

Positively curved metrics on symmetric spaces with large symmetry rank

Lee Kennard

arxiv:1209.4627 v1 · 2012-09-20 · 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{4C2M53CRQEQM2FROD7C6OCWHOW}

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	2026-05-18T03:45:11.114020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b4ceec518120cd162e1fc5e70ac7759a6698bf6607884b95c92a9be7c52fc5

Aliases

arxiv: 1209.4627 · arxiv_version: 1209.4627v1 · doi: 10.48550/arxiv.1209.4627 · pith_short_12: 4C2M53CRQEQM · pith_short_16: 4C2M53CRQEQM2FRO · pith_short_8: 4C2M53CR

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/4C2M53CRQEQM2FROD7C6OCWHOW \
  | 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: e0b4ceec518120cd162e1fc5e70ac7759a6698bf6607884b95c92a9be7c52fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03dfdef9b71ca68ea7c9662f3a55afd3ba68e3f996a219f70aa3c36e472a909",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-20T19:37:12Z",
    "title_canon_sha256": "9b277368ab0d0acc6b4760a485746df002a3e1ceed11b018f9a13b63b1b8cedc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4627",
    "kind": "arxiv",
    "version": 1
  }
}