Pith Number

pith:2F2EOL6M

pith:2011:2F2EOL6M63SEGO2BGFLX6DUQSK

not attested not anchored not stored refs pending

Stable 3-spheres in $\mathbb{C}^3$

Isabel M. C. Salavessa

arxiv:1111.3287 v3 · 2011-11-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2F2EOL6M63SEGO2BGFLX6DUQSK}

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	2026-05-18T04:04:54.519639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d174472fccf6e4433b4131577f0e90929a46a19903b419cea4ddaf7a78351599

Aliases

arxiv: 1111.3287 · arxiv_version: 1111.3287v3 · doi: 10.48550/arxiv.1111.3287 · pith_short_12: 2F2EOL6M63SE · pith_short_16: 2F2EOL6M63SEGO2B · pith_short_8: 2F2EOL6M

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/2F2EOL6M63SEGO2BGFLX6DUQSK \
  | 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: d174472fccf6e4433b4131577f0e90929a46a19903b419cea4ddaf7a78351599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "591b16e2bf6a0f3e96add9750b3a48b7d6643cec02ae81be1a3a087066ad7f77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-14T17:15:45Z",
    "title_canon_sha256": "31cdf766208c5bf50ea1f834c4be1ad33e9894aaf5a971c3463e72bd2a231cc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3287",
    "kind": "arxiv",
    "version": 3
  }
}