Pith Number

pith:LKSR45NH

pith:2010:LKSR45NHOWKVTMYQTZ43MHNTOW

not attested not anchored not stored refs pending

The Hofer conjecture on embedding symplectic ellipsoids

Dusa McDuff

arxiv:1008.1885 v4 · 2010-08-11 · 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{LKSR45NHOWKVTMYQTZ43MHNTOW}

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	2026-05-18T04:27:45.143664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa51e75a7759559b3109e79b61db375aefa0acf5f056775465a342e349ebd65

Aliases

arxiv: 1008.1885 · arxiv_version: 1008.1885v4 · doi: 10.48550/arxiv.1008.1885 · pith_short_12: LKSR45NHOWKV · pith_short_16: LKSR45NHOWKVTMYQ · pith_short_8: LKSR45NH

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/LKSR45NHOWKVTMYQTZ43MHNTOW \
  | 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: 5aa51e75a7759559b3109e79b61db375aefa0acf5f056775465a342e349ebd65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8b5ef5c77c6a9858f72c65f8034366d4b19452d47f3b0355bb9ad263ac260eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-08-11T11:13:25Z",
    "title_canon_sha256": "f29a6f2181ac9a12d029274a8860190e2cbe316d59ab7ce77f5162977f749b75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1885",
    "kind": "arxiv",
    "version": 4
  }
}