Pith Number

pith:CWB7P5RM

pith:2007:CWB7P5RM23DP6NRTHYR6NUP44R

not attested not anchored not stored refs pending

Buildings have finite asymptotic dimension

Jan Dymara (Wroclaw), Thomas Schick (Georg-August-Universit\"at G\"ottingen)

arxiv:math/0703199 v3 · 2007-03-07 · math.MG · 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{CWB7P5RM23DP6NRTHYR6NUP44R}

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	2026-05-17T23:59:44.833581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1583f7f62cd6c6ff36333e23e6d1fce4726a681ba9c1b1a196d5ea56713fe78a

Aliases

arxiv: math/0703199 · arxiv_version: math/0703199v3 · doi: 10.48550/arxiv.math/0703199 · pith_short_12: CWB7P5RM23DP · pith_short_16: CWB7P5RM23DP6NRT · pith_short_8: CWB7P5RM

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/CWB7P5RM23DP6NRTHYR6NUP44R \
  | 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: 1583f7f62cd6c6ff36333e23e6d1fce4726a681ba9c1b1a196d5ea56713fe78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00286598980564fa8d19363e43a4a11e91767647648d93ec501a55951b6f2f86",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2007-03-07T18:54:37Z",
    "title_canon_sha256": "5594c408d469c52b6069b23ad44517ececbddcf4ce9d234427b7d135b3c93642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703199",
    "kind": "arxiv",
    "version": 3
  }
}