Pith Number

pith:6XBWAX2O

pith:2009:6XBWAX2OWTPTPK5Z45K34B3UNF

not attested not anchored not stored refs pending

Ricci flow on three-dimensional, unimodular metric Lie algebras

David Glickenstein, Tracy L. Payne

arxiv:0909.0938 v1 · 2009-09-04 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XBWAX2OWTPTPK5Z45K34B3UNF}

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	2026-05-18T01:29:38.734553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c3605f4eb4df37abb9e755be07746949bb27e0f7fa51eb6bf168004bf1360e

Aliases

arxiv: 0909.0938 · arxiv_version: 0909.0938v1 · doi: 10.48550/arxiv.0909.0938 · pith_short_12: 6XBWAX2OWTPT · pith_short_16: 6XBWAX2OWTPTPK5Z · pith_short_8: 6XBWAX2O

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/6XBWAX2OWTPTPK5Z45K34B3UNF \
  | 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: f5c3605f4eb4df37abb9e755be07746949bb27e0f7fa51eb6bf168004bf1360e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c42918af6a30d938f7b8bfe06906a406a555e7d57412f8ca116b35c9768ac3fd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-04T18:49:30Z",
    "title_canon_sha256": "cf0a78b1ea01822d4770f7335a76cfdb9a15cda52e24d503894af71604d81bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0938",
    "kind": "arxiv",
    "version": 1
  }
}