Pith Number

pith:V5QRY4NG

pith:2006:V5QRY4NGWMGOGSJFO46I6IPIKO

not attested not anchored not stored refs pending

Notes on Perelman's papers

Bruce Kleiner, John Lott

arxiv:math/0605667 v5 · 2006-05-25 · 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{V5QRY4NGWMGOGSJFO46I6IPIKO}

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.

Cited by

1 paper in Pith

Off-diagonal solutions in Einsteingravity modeling f(R) gravity and dynamical darkenergy vs Lambda CDM cosmology

Receipt and verification

First computed	2026-05-18T02:37:59.603644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af611c71a6b30ce34925773c8f21e853a650b3e834bb613b63527e5e44cbde69

Aliases

arxiv: math/0605667 · arxiv_version: math/0605667v5 · doi: 10.48550/arxiv.math/0605667 · pith_short_12: V5QRY4NGWMGO · pith_short_16: V5QRY4NGWMGOGSJF · pith_short_8: V5QRY4NG

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/V5QRY4NGWMGOGSJFO46I6IPIKO \
  | 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: af611c71a6b30ce34925773c8f21e853a650b3e834bb613b63527e5e44cbde69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99f52028cb196e8b999d090ff003f52bac785e4ef62c18129ebfa0f157b65aad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2006-05-25T17:25:47Z",
    "title_canon_sha256": "729c4f1a15afdc078365e37b049bab30d0a0bc6054992ad186846f7f293405c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605667",
    "kind": "arxiv",
    "version": 5
  }
}