Pith Number

pith:32BSZFRF

pith:2008:32BSZFRFWMIJSZRCGAGFEHNU45

not attested not anchored not stored refs pending

Fixed points in non-invariant plane continua

AL, Alexander Blokh, Birmingham, Lex Oversteegen (UAB, USA)

arxiv:0805.1069 v2 · 2008-05-08 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32BSZFRFWMIJSZRCGAGFEHNU45}

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	2026-05-18T01:22:10.810878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de832c9625b310996622300c521db4e748462f0f6ef02318dffe58f02a8e3ae3

Aliases

arxiv: 0805.1069 · arxiv_version: 0805.1069v2 · doi: 10.48550/arxiv.0805.1069 · pith_short_12: 32BSZFRFWMIJ · pith_short_16: 32BSZFRFWMIJSZRC · pith_short_8: 32BSZFRF

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/32BSZFRFWMIJSZRCGAGFEHNU45 \
  | 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: de832c9625b310996622300c521db4e748462f0f6ef02318dffe58f02a8e3ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8292cce2e6234aa6816bc64dace73e9501401761fb6198856fb83a1b37307677",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2008-05-08T15:56:06Z",
    "title_canon_sha256": "4e6d0fde85fe5600f7c1d2f7506c73f69b1db78c935d0d9909905670874d126a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1069",
    "kind": "arxiv",
    "version": 2
  }
}