Pith Number

pith:JIIIS4KW

pith:2011:JIIIS4KWPKHJN2WXRXJJVDOX4Z

not attested not anchored not stored refs pending

The generating function of the embedding capacity for 4-dimensional symplectic ellipsoids

David Bauer

arxiv:1102.5630 v1 · 2011-02-28 · math.SG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIIIS4KWPKHJN2WXRXJJVDOX4Z}

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	2026-05-18T04:27:46.417668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a108971567a8e96ead78dd29a8dd7e64955d8dd5b5c8c8b1ea38750f8735a6f

Aliases

arxiv: 1102.5630 · arxiv_version: 1102.5630v1 · doi: 10.48550/arxiv.1102.5630 · pith_short_12: JIIIS4KWPKHJ · pith_short_16: JIIIS4KWPKHJN2WX · pith_short_8: JIIIS4KW

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/JIIIS4KWPKHJN2WXRXJJVDOX4Z \
  | 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: 4a108971567a8e96ead78dd29a8dd7e64955d8dd5b5c8c8b1ea38750f8735a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b81847a7ac8b88656e6b261c2bec071185c9bba01eb368c62a9736ad02cbf39",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-02-28T10:02:11Z",
    "title_canon_sha256": "7ff328e8d0c79ea671e12bf2016560139f0cb2ca641e392fb76b6ebc7c7717ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5630",
    "kind": "arxiv",
    "version": 1
  }
}