Pith Number

pith:3AGAZDNG

pith:2006:3AGAZDNGJIIMYALEIZYCVBZVSE

not attested not anchored not stored refs pending

A note on spaces of asymptotic dimension one

Kevin Whyte, Koji Fujiwara

arxiv:math/0610391 v2 · 2006-10-12 · math.MG · math.GR · 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{3AGAZDNGJIIMYALEIZYCVBZVSE}

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	2026-05-18T02:41:26.728344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80c0c8da64a10cc016446702a8735913ecd4df73d1f22308d40748a7017debb

Aliases

arxiv: math/0610391 · arxiv_version: math/0610391v2 · doi: 10.48550/arxiv.math/0610391 · pith_short_12: 3AGAZDNGJIIM · pith_short_16: 3AGAZDNGJIIMYALE · pith_short_8: 3AGAZDNG

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/3AGAZDNGJIIMYALEIZYCVBZVSE \
  | 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: d80c0c8da64a10cc016446702a8735913ecd4df73d1f22308d40748a7017debb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c40481e994dde2277f04315c14bcee02bd4d1215d8929c48b63b2c9fe972cea9",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2006-10-12T07:36:24Z",
    "title_canon_sha256": "93f4b06e69cd96d17a46a27b6e0ec0670cc8a0f89d48f9fa7bb4eea151785854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610391",
    "kind": "arxiv",
    "version": 2
  }
}