Pith Number

pith:OFTFJRRA

pith:2008:OFTFJRRAMZEE5LFDPRA5RFINVU

not attested not anchored not stored refs pending

Quasiflats in CAT(0) complexes

Bruce Kleiner, Michah Sageev, Mladen Bestvina

arxiv:0804.2619 v2 · 2008-04-16 · math.GR · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFTFJRRAMZEE5LFDPRA5RFINVU}

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	2026-05-18T01:36:11.567772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

716654c62066484eaca37c41d8950dad31a32f50abf2c0b7055dde97203e35c0

Aliases

arxiv: 0804.2619 · arxiv_version: 0804.2619v2 · doi: 10.48550/arxiv.0804.2619 · pith_short_12: OFTFJRRAMZEE · pith_short_16: OFTFJRRAMZEE5LFD · pith_short_8: OFTFJRRA

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/OFTFJRRAMZEE5LFDPRA5RFINVU \
  | 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: 716654c62066484eaca37c41d8950dad31a32f50abf2c0b7055dde97203e35c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd36c1de750a9a90411a0ed801cf9ab806895b6548cd821341036c0e1b98f69f",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-04-16T15:20:27Z",
    "title_canon_sha256": "3dbf3b80d2e1dc1a9cf9fd861226d814c58d115fee29c7f6693d43b20864b9bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2619",
    "kind": "arxiv",
    "version": 2
  }
}