Pith Number

pith:P6GELKKR

pith:2014:P6GELKKRTTAJDZ3NY4P5K7TAJN

not attested not anchored not stored refs pending

Symplectic non-squeezing in Hilbert space and discrete Schr\"odinger equations

Alexander Tumanov, Alexandre Sukhov

arxiv:1411.3989 v4 · 2014-11-14 · math.SG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6GELKKRTTAJDZ3NY4P5K7TAJN}

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	2026-05-18T01:17:37.751036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f8c45a9519cc091e76dc71fd57e604b5aa58aa1b1d52b44fef1edf6936a3d90

Aliases

arxiv: 1411.3989 · arxiv_version: 1411.3989v4 · doi: 10.48550/arxiv.1411.3989 · pith_short_12: P6GELKKRTTAJ · pith_short_16: P6GELKKRTTAJDZ3N · pith_short_8: P6GELKKR

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/P6GELKKRTTAJDZ3NY4P5K7TAJN \
  | 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: 7f8c45a9519cc091e76dc71fd57e604b5aa58aa1b1d52b44fef1edf6936a3d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef619038a97aa7ebca29c4f684d994aae29d028c9a3e32e07765bb7b3dcad1f9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-11-14T17:41:14Z",
    "title_canon_sha256": "335fdc913fd26d9f8ce619a6354ed6abcd9e202712aa00af2602c8990e506c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3989",
    "kind": "arxiv",
    "version": 4
  }
}