Pith Number

pith:RI7HXSIJ

pith:2008:RI7HXSIJXILXYOLFMKBQXNWC33

not attested not anchored not stored refs pending

Free involutions on S^1xS^n

Bj{\o}rn Jahren, S{\l}awomir Kwasik

arxiv:0802.2035 v1 · 2008-02-14 · 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{RI7HXSIJXILXYOLFMKBQXNWC33}

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	2026-05-18T01:09:24.538251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a3e7bc909ba177c396562830bb6c2dec45988efbfabb6d0517ba51f6427f8f8

Aliases

arxiv: 0802.2035 · arxiv_version: 0802.2035v1 · doi: 10.48550/arxiv.0802.2035 · pith_short_12: RI7HXSIJXILX · pith_short_16: RI7HXSIJXILXYOLF · pith_short_8: RI7HXSIJ

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/RI7HXSIJXILXYOLFMKBQXNWC33 \
  | 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: 8a3e7bc909ba177c396562830bb6c2dec45988efbfabb6d0517ba51f6427f8f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ddfd185bca7fdb25266b6a854dd193676b299e55f1ffaea01c863644183275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-02-14T15:31:09Z",
    "title_canon_sha256": "f101246361ee932a4c96f6902affa1f714a8c12b86ac9e05bcdd6ae387be5aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2035",
    "kind": "arxiv",
    "version": 1
  }
}