Pith Number

pith:OIPGUHOF

pith:2006:OIPGUHOFYWZZCOG5KKHD6IA5UV

not attested not anchored not stored refs pending

Relative hyperbolicity, classifying spaces, and lower algebraic K-theory

I. J. Ortiz, J.-F. Lafont

arxiv:math/0606473 v1 · 2006-06-19 · math.KT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIPGUHOFYWZZCOG5KKHD6IA5UV}

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	2026-05-18T04:08:53.420696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

721e6a1dc5c5b39138dd528e3f201da572bf9350af480fd7096aa6643fd2b2fb

Aliases

arxiv: math/0606473 · arxiv_version: math/0606473v1 · doi: 10.48550/arxiv.math/0606473 · pith_short_12: OIPGUHOFYWZZ · pith_short_16: OIPGUHOFYWZZCOG5 · pith_short_8: OIPGUHOF

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/OIPGUHOFYWZZCOG5KKHD6IA5UV \
  | 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: 721e6a1dc5c5b39138dd528e3f201da572bf9350af480fd7096aa6643fd2b2fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb5af6c4ccb398f12f9791dd2bf6faeddd798f83deaba0c83b9b9556943bab4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2006-06-19T19:16:13Z",
    "title_canon_sha256": "5266a0424a816e36032f5129120a48607059588c2922ce0e7f614bcbf47a4db8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606473",
    "kind": "arxiv",
    "version": 1
  }
}