Pith Number

pith:QYKLSX5Q

pith:2009:QYKLSX5QTVUH5QKEBN4PTGPXK5

not attested not anchored not stored refs pending

On continuity of quasi-morphisms for symplectic maps

Leonid Polterovich, Michael Entov, Pierre Py

arxiv:0904.1397 v1 · 2009-04-08 · math.DS · 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{QYKLSX5QTVUH5QKEBN4PTGPXK5}

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	2026-05-18T03:55:01.865435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8614b95fb09d687ec1440b78f999f7575762764fc8662cae899fe9a84fe6ff50

Aliases

arxiv: 0904.1397 · arxiv_version: 0904.1397v1 · doi: 10.48550/arxiv.0904.1397 · pith_short_12: QYKLSX5QTVUH · pith_short_16: QYKLSX5QTVUH5QKE · pith_short_8: QYKLSX5Q

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/QYKLSX5QTVUH5QKEBN4PTGPXK5 \
  | 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: 8614b95fb09d687ec1440b78f999f7575762764fc8662cae899fe9a84fe6ff50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2733d4a4de1902c60be50ddbdce01bd672427fc922cf900299b9cc89b57653e6",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-04-08T18:14:29Z",
    "title_canon_sha256": "2274aca990a48de114798ef7c2a5de24460c81bf13500d6b5db71afb3a895868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1397",
    "kind": "arxiv",
    "version": 1
  }
}