Pith Number

pith:D6W6Z7ZG

pith:2010:D6W6Z7ZG6RRGQ5SCALB4DPKCND

not attested not anchored not stored refs pending

On the local structure and the homology of CAT$(\kappa)$ spaces and euclidean buildings

Linus Kramer

arxiv:1009.3089 v4 · 2010-09-16 · 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{D6W6Z7ZG6RRGQ5SCALB4DPKCND}

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	2026-05-18T04:38:58.026274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fadecff26f46268764202c3c1bd4268eaf757c130ce1d72dee5ac03d54c16b3

Aliases

arxiv: 1009.3089 · arxiv_version: 1009.3089v4 · doi: 10.48550/arxiv.1009.3089 · pith_short_12: D6W6Z7ZG6RRG · pith_short_16: D6W6Z7ZG6RRGQ5SC · pith_short_8: D6W6Z7ZG

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/D6W6Z7ZG6RRGQ5SCALB4DPKCND \
  | 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: 1fadecff26f46268764202c3c1bd4268eaf757c130ce1d72dee5ac03d54c16b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654d6bee3a6ea70dd5f6db32b09ba477e9fc7ba701c93ebbca82d11ef54dc53d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-09-16T05:13:40Z",
    "title_canon_sha256": "ad2f69f7aa83065a088fc574ec2ab3a8d2ea108bf85b9e48504f8a84098864d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3089",
    "kind": "arxiv",
    "version": 4
  }
}