Pith Number

pith:H5URN4XN

pith:2012:H5URN4XNVLQZ3L7U56NP6MAV43

not attested not anchored not stored refs pending

Symplectic embeddings of 4-dimensional ellipsoids into cubes

David Frenkel, Dorothee M\"uller

arxiv:1210.2266 v1 · 2012-10-08 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5URN4XNVLQZ3L7U56NP6MAV43}

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	2026-05-18T03:43:50.655067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6916f2edaae19daff4ef9aff3015e6effb203bcd6cbf71e53acb94a3f35b32

Aliases

arxiv: 1210.2266 · arxiv_version: 1210.2266v1 · doi: 10.48550/arxiv.1210.2266 · pith_short_12: H5URN4XNVLQZ · pith_short_16: H5URN4XNVLQZ3L7U · pith_short_8: H5URN4XN

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/H5URN4XNVLQZ3L7U56NP6MAV43 \
  | 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: 3f6916f2edaae19daff4ef9aff3015e6effb203bcd6cbf71e53acb94a3f35b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "294d9b4b3363506f9f8b99ab47d4688f6f141c7457df082fa49901b561724074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-10-08T13:08:56Z",
    "title_canon_sha256": "6a6e941302b0d89548ca671912b7743ba27d57c7f6369d06e5f1e47007e1bc0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2266",
    "kind": "arxiv",
    "version": 1
  }
}