Pith Number

pith:3C3G4HZY

pith:2001:3C3G4HZYEMDIWMHLAXVJ4P6GHO

not attested not anchored not stored refs pending

Metric characterizations of spherical, and Euclidean buildings

Alexander Lytchak, Ruth Charney

arxiv:math/0106188 v1 · 2001-06-22 · math.MG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3C3G4HZYEMDIWMHLAXVJ4P6GHO}

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	2026-05-18T02:38:00.791728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b66e1f3823068b30eb05ea9e3fc63b8b52667971be16450217279f597e41e2

Aliases

arxiv: math/0106188 · arxiv_version: math/0106188v1 · doi: 10.48550/arxiv.math/0106188 · pith_short_12: 3C3G4HZYEMDI · pith_short_16: 3C3G4HZYEMDIWMHL · pith_short_8: 3C3G4HZY

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/3C3G4HZYEMDIWMHLAXVJ4P6GHO \
  | 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: d8b66e1f3823068b30eb05ea9e3fc63b8b52667971be16450217279f597e41e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50f2d1a84140b27a191231f45885602d7930005e3b33b73af8ee68832729d8a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2001-06-22T10:41:57Z",
    "title_canon_sha256": "93d96aa87bd0fa2321df84e24b37a0099576cf079b2741483ecdcc0b41437574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106188",
    "kind": "arxiv",
    "version": 1
  }
}