Pith Number

pith:TJ44W2OF

pith:2017:TJ44W2OFQR6JVOJJ5IO6S6U56K

not attested not anchored not stored refs pending

Unobstructed symplectic packing by ellipsoids for tori and hyperkahler manifolds

Michael Entov, Misha Verbitsky

arxiv:1704.00636 v2 · 2017-04-03 · math.SG · math.AG · 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{TJ44W2OFQR6JVOJJ5IO6S6U56K}

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	2026-05-18T00:37:47.633734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a79cb69c5847c9ab929ea1de97a9df28fedb4825044b791defdcf0035e69c94

Aliases

arxiv: 1704.00636 · arxiv_version: 1704.00636v2 · doi: 10.48550/arxiv.1704.00636 · pith_short_12: TJ44W2OFQR6J · pith_short_16: TJ44W2OFQR6JVOJJ · pith_short_8: TJ44W2OF

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/TJ44W2OFQR6JVOJJ5IO6S6U56K \
  | 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: 9a79cb69c5847c9ab929ea1de97a9df28fedb4825044b791defdcf0035e69c94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bdede47cdd363a7e26f72e849f7fbb142911f1781b490906f93b0a688c1a151",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-04-03T15:21:47Z",
    "title_canon_sha256": "861e735f54f5c0d87d2e2828166c0a36ca48767fa4a33d864a0ddc1910bed849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00636",
    "kind": "arxiv",
    "version": 2
  }
}