Pith Number

pith:KNXYUMMD

pith:2012:KNXYUMMD2C6FWBEX6NQTO6H4M2

not attested not anchored not stored refs pending

A Symplectically Non-Squeezable Small Set and the Regular Coisotropic Capacity

Fabian Ziltener, Jan Swoboda

arxiv:1203.2395 v4 · 2012-03-12 · math.SG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNXYUMMD2C6FWBEX6NQTO6H4M2}

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	2026-05-18T03:46:31.209695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536f8a3183d0bc5b0497f3613778fc66aafadd97ca1650ec87837127c2c89d45

Aliases

arxiv: 1203.2395 · arxiv_version: 1203.2395v4 · doi: 10.48550/arxiv.1203.2395 · pith_short_12: KNXYUMMD2C6F · pith_short_16: KNXYUMMD2C6FWBEX · pith_short_8: KNXYUMMD

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/KNXYUMMD2C6FWBEX6NQTO6H4M2 \
  | 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: 536f8a3183d0bc5b0497f3613778fc66aafadd97ca1650ec87837127c2c89d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f42d835a44a3053d697520cb17ad2be9db809c84266ea4b4bf6abe535a2e6b1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-03-12T02:34:06Z",
    "title_canon_sha256": "913d5cf9984422709bebc10f965e83daf3e69ecd74d6f652821e1d1805161aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2395",
    "kind": "arxiv",
    "version": 4
  }
}