Pith Number

pith:BNOKOZE5

pith:2007:BNOKOZE5FS7YFJVOOJE27BNDB4

not attested not anchored not stored refs pending

Rigid subsets of symplectic manifolds

Leonid Polterovich, Michael Entov

arxiv:0704.0105 v2 · 2007-04-01 · 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{BNOKOZE5FS7YFJVOOJE27BNDB4}

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	2026-05-18T03:02:45.193987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b5ca7649d2cbf82a6ae7249af85a30f08b4307ad373fecc124a1a42df29c18f

Aliases

arxiv: 0704.0105 · arxiv_version: 0704.0105v2 · doi: 10.48550/arxiv.0704.0105 · pith_short_12: BNOKOZE5FS7Y · pith_short_16: BNOKOZE5FS7YFJVO · pith_short_8: BNOKOZE5

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/BNOKOZE5FS7YFJVOOJE27BNDB4 \
  | 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: 0b5ca7649d2cbf82a6ae7249af85a30f08b4307ad373fecc124a1a42df29c18f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3818bbb090590dc6a92ccc6d4debe8e680a1d75b25d22ad1bb8116e2ebc5444c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2007-04-01T19:57:30Z",
    "title_canon_sha256": "9a678f585bbc9b32e38897cdabe4fe32aa1da69000826ab832f1beacff522643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0105",
    "kind": "arxiv",
    "version": 2
  }
}