Pith Number

pith:YDVQ45OM

pith:2018:YDVQ45OMZX25QXSQIFEJCPX4GJ

not attested not anchored not stored refs pending

Maximal contact and symplectic structures

Oleg Lazarev

arxiv:1810.11728 v1 · 2018-10-27 · 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{YDVQ45OMZX25QXSQIFEJCPX4GJ}

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.

Cited by

1 paper in Pith

The Legendrian Whitney trick

Receipt and verification

First computed	2026-07-05T01:02:00.470098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0eb0e75cccdf5d85e504148913efc324ea6f232f25a0bab07352de059fe7e49

Aliases

arxiv: 1810.11728 · arxiv_version: 1810.11728v1 · doi: 10.48550/arxiv.1810.11728 · pith_short_12: YDVQ45OMZX25 · pith_short_16: YDVQ45OMZX25QXSQ · pith_short_8: YDVQ45OM

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/YDVQ45OMZX25QXSQIFEJCPX4GJ \
  | 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: c0eb0e75cccdf5d85e504148913efc324ea6f232f25a0bab07352de059fe7e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c828d10f2c713e97c2bf6219fbfb7c7a69f97315ad37538fbbf278bed96fc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-10-27T23:00:14Z",
    "title_canon_sha256": "0f4cdf25f71afcf2a5283ccda8eec0c5f0ab1eedecc6d88092fd6a969bb07659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11728",
    "kind": "arxiv",
    "version": 1
  }
}