Pith Number

pith:KBJPAR2N

pith:2001:KBJPAR2NFD63B33FFWD5UO32F5

not attested not anchored not stored refs pending

Hyperbolic rank and subexponential corank of metric spaces

Sergei Buyalo, Viktor Schroeder

arxiv:math/0102109 v1 · 2001-02-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBJPAR2NFD63B33FFWD5UO32F5}

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	2026-05-18T01:05:37.934954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5052f0474d28fdb0ef652d87da3b7a2f76de79c247b29abc459fa3b7e3ac0043

Aliases

arxiv: math/0102109 · arxiv_version: math/0102109v1 · doi: 10.48550/arxiv.math/0102109 · pith_short_12: KBJPAR2NFD63 · pith_short_16: KBJPAR2NFD63B33F · pith_short_8: KBJPAR2N

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/KBJPAR2NFD63B33FFWD5UO32F5 \
  | 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: 5052f0474d28fdb0ef652d87da3b7a2f76de79c247b29abc459fa3b7e3ac0043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639836350a9a637696ca8b76d088f6f4b807dbec2ac42b6b425b3d4a6ce74301",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-02-14T12:33:09Z",
    "title_canon_sha256": "cc219837191a8c0dfeb9dd51a043c19e1926f577ff3d032da58d9fde2af2f49e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102109",
    "kind": "arxiv",
    "version": 1
  }
}