Pith Number

pith:5BZWCJBR

pith:2003:5BZWCJBRX57V5EDH3YL7GHOL2H

not attested not anchored not stored refs pending

A very short proof of Forester's rigidity result

Vincent Guirardel

arxiv:math/0301284 v3 · 2003-01-24 · 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{5BZWCJBRX57V5EDH3YL7GHOL2H}

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	2026-05-18T02:38:00.432401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e873612431bf7f5e9067de17f31dcbd1dad08718df9135ff4e99a5cc4d493929

Aliases

arxiv: math/0301284 · arxiv_version: math/0301284v3 · doi: 10.48550/arxiv.math/0301284 · pith_short_12: 5BZWCJBRX57V · pith_short_16: 5BZWCJBRX57V5EDH · pith_short_8: 5BZWCJBR

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/5BZWCJBRX57V5EDH3YL7GHOL2H \
  | 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: e873612431bf7f5e9067de17f31dcbd1dad08718df9135ff4e99a5cc4d493929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb9acd52c8565a5129c3bb9346bcb246b3cfbe49e58d436b3ab2f9e00d073ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-01-24T15:58:52Z",
    "title_canon_sha256": "e0ff24b497369f85669914f7617441ec6c14a53540d4649c600e7abca22424e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301284",
    "kind": "arxiv",
    "version": 3
  }
}