Pith Number

pith:VOORB252

pith:2012:VOORB252DD466QZDH2Z3AUXMOS

not attested not anchored not stored refs pending

Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and the octonions

Man-Wai Cheung, Nolan R. Wallach

arxiv:1206.2596 v2 · 2012-06-12 · 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{VOORB252DD466QZDH2Z3AUXMOS}

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	2026-05-18T01:33:07.125120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9d10ebba18f9ef43233eb3b052ec7490c70c90576df9b1c46285a2bc8ca9af

Aliases

arxiv: 1206.2596 · arxiv_version: 1206.2596v2 · doi: 10.48550/arxiv.1206.2596 · pith_short_12: VOORB252DD46 · pith_short_16: VOORB252DD466QZD · pith_short_8: VOORB252

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/VOORB252DD466QZDH2Z3AUXMOS \
  | 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: ab9d10ebba18f9ef43233eb3b052ec7490c70c90576df9b1c46285a2bc8ca9af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be8697c3f8bc50b3ecb1bf61625d0d246b3b99e103b3fae38b7b2c87458c5e38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-12T17:15:33Z",
    "title_canon_sha256": "d55e17b8675b54dfc9081f3fb4dbc0b671a55dc0613c435fc7224b46fcf38d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2596",
    "kind": "arxiv",
    "version": 2
  }
}