Pith Number

pith:SOOTYFCH

pith:2002:SOOTYFCH4RWFPQ7LLVQPBYBIME

not attested not anchored not stored refs pending

Smooth free involution of $H{\Bbb C}P^3$ and Smith conjecture for imbeddings of $S^3$ in $S^6$

Bang-He Li, Zhi L\"u

arxiv:math/0211153 v3 · 2002-11-09 · 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{SOOTYFCH4RWFPQ7LLVQPBYBIME}

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	2026-07-04T15:04:26.162356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939d3c1447e46c57c3eb5d60f0e028612d49d75b86d4f12ab628991cf246b8f0

Aliases

arxiv: math/0211153 · arxiv_version: math/0211153v3 · doi: 10.48550/arxiv.math/0211153 · pith_short_12: SOOTYFCH4RWF · pith_short_16: SOOTYFCH4RWFPQ7L · pith_short_8: SOOTYFCH

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/SOOTYFCH4RWFPQ7LLVQPBYBIME \
  | 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: 939d3c1447e46c57c3eb5d60f0e028612d49d75b86d4f12ab628991cf246b8f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "819aea6c6f3d6bb0162ec61571a45132e8651d216bf2927a7b5f05bd81cc09b5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-11-09T12:59:07Z",
    "title_canon_sha256": "1b59b46f752c15f8b3c21617fcefdf69f503de0194d4ce0623462e1a737bd02a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211153",
    "kind": "arxiv",
    "version": 3
  }
}