Pith Number

pith:OHM2TLXR

pith:2008:OHM2TLXROO7TPXSRTIGX2MEUZB

not attested not anchored not stored refs pending

A free action of a finite group on 3-sphere equivalent to a linear action

Ming Yang

arxiv:0809.2218 v7 · 2008-09-12 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHM2TLXROO7TPXSRTIGX2MEUZB}

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	2026-05-18T03:47:09.172446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71d9a9aef173bf37de519a0d7d3094c87fa280064c713bffc6a6fb9d4a215f51

Aliases

arxiv: 0809.2218 · arxiv_version: 0809.2218v7 · doi: 10.48550/arxiv.0809.2218 · pith_short_12: OHM2TLXROO7T · pith_short_16: OHM2TLXROO7TPXSR · pith_short_8: OHM2TLXR

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/OHM2TLXROO7TPXSRTIGX2MEUZB \
  | 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: 71d9a9aef173bf37de519a0d7d3094c87fa280064c713bffc6a6fb9d4a215f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8ecf489c72f5865925a781a5dbbbd07620c10793e73418eaefd40187bb7860",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-09-12T13:56:10Z",
    "title_canon_sha256": "ccbbe0ddab0e137d693c4199e8f49fa2e887666b09b317ce8147bb21b3fe9a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2218",
    "kind": "arxiv",
    "version": 7
  }
}