Pith Number

pith:OVJ7CT5A

pith:2001:OVJ7CT5AFLZQG7XK3WKZEDY3QV

not attested not anchored not stored refs pending

Invariant metrics on G-spaces

Boguslaw Hajduk, Rafal Walczak

arxiv:math/0105230 v1 · 2001-05-28 · 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{OVJ7CT5AFLZQG7XK3WKZEDY3QV}

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	2026-05-18T01:05:37.768046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7553f14fa02af3037eeadd95920f1b8579c457f547c6b51485829f8b05b6efab

Aliases

arxiv: math/0105230 · arxiv_version: math/0105230v1 · doi: 10.48550/arxiv.math/0105230 · pith_short_12: OVJ7CT5AFLZQ · pith_short_16: OVJ7CT5AFLZQG7XK · pith_short_8: OVJ7CT5A

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/OVJ7CT5AFLZQG7XK3WKZEDY3QV \
  | 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: 7553f14fa02af3037eeadd95920f1b8579c457f547c6b51485829f8b05b6efab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df43e2185f008ca29cf56ea796442d29638088bc8eed8aba95b4d17fd1af6ce7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-05-28T13:20:13Z",
    "title_canon_sha256": "9e844b1f7465aa46db45e55ec048896da79c25ce030dd25217a745c119e49f92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105230",
    "kind": "arxiv",
    "version": 1
  }
}