Pith Number

pith:AJ5ZDTKD

pith:2007:AJ5ZDTKD62R7HGFWR3EXSEB4EM

not attested not anchored not stored refs pending

Reversibility in the group of homeomorphisms of the circle

Anthony G. O'Farrell, Ian Short, Nick Gill

arxiv:0710.3997 v2 · 2007-10-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJ5ZDTKD62R7HGFWR3EXSEB4EM}

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	2026-05-18T02:59:45.793283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027b91cd43f6a3f398b68ec979103c2323efe20a8e728c19e0b1a8eea99bc5fc

Aliases

arxiv: 0710.3997 · arxiv_version: 0710.3997v2 · doi: 10.48550/arxiv.0710.3997 · pith_short_12: AJ5ZDTKD62R7 · pith_short_16: AJ5ZDTKD62R7HGFW · pith_short_8: AJ5ZDTKD

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/AJ5ZDTKD62R7HGFWR3EXSEB4EM \
  | 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: 027b91cd43f6a3f398b68ec979103c2323efe20a8e728c19e0b1a8eea99bc5fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "837ff5118b4367753236d34cc9c2b256d586cd548fbace3815b9ceaec17009ce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-10-22T08:57:52Z",
    "title_canon_sha256": "8a1f28b689c5e3f829dcbf17ae6e4f3563af473bf48e9f1c87fc0f493af92b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3997",
    "kind": "arxiv",
    "version": 2
  }
}