Pith Number

pith:PQQPSXBC

pith:2010:PQQPSXBC2KFWZ3AFNHWHFDXNH5

not attested not anchored not stored refs pending

Metric Properties of Euclidean Buildings

Linus Kramer

arxiv:1012.2218 v4 · 2010-12-10 · 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{PQQPSXBC2KFWZ3AFNHWHFDXNH5}

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	2026-05-18T04:08:24.433756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c20f95c22d28b6cec0569ec728eed3f483ba36b6becc5652852303e7ac19094

Aliases

arxiv: 1012.2218 · arxiv_version: 1012.2218v4 · doi: 10.48550/arxiv.1012.2218 · pith_short_12: PQQPSXBC2KFW · pith_short_16: PQQPSXBC2KFWZ3AF · pith_short_8: PQQPSXBC

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/PQQPSXBC2KFWZ3AFNHWHFDXNH5 \
  | 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: 7c20f95c22d28b6cec0569ec728eed3f483ba36b6becc5652852303e7ac19094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4494b816cc00d24132e4255113af49a10ad842015dab4174b67ed2c171506a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-12-10T10:12:05Z",
    "title_canon_sha256": "6f4a6ec0e8540a8a5a5efa3476c7bf38c7bb8396605796d51400fdb57c00e6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2218",
    "kind": "arxiv",
    "version": 4
  }
}