Pith Number

pith:O2SAW6KZ

pith:2020:O2SAW6KZ7ZYJLB4UUJE2BXY5TY

not attested not anchored not stored refs pending

Symplectic isotopy on non-minimal ruled surfaces

Jun Li, Olguta Buse

arxiv:2010.04616 v2 · 2020-10-09 · 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{O2SAW6KZ7ZYJLB4UUJE2BXY5TY}

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	2026-07-05T06:16:58.119758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a40b7959fe70958794a249a0df1d9e020e6dac7b2a94195fbdb8d904126952

Aliases

arxiv: 2010.04616 · arxiv_version: 2010.04616v2 · doi: 10.48550/arxiv.2010.04616 · pith_short_12: O2SAW6KZ7ZYJ · pith_short_16: O2SAW6KZ7ZYJLB4U · pith_short_8: O2SAW6KZ

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/O2SAW6KZ7ZYJLB4UUJE2BXY5TY \
  | 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: 76a40b7959fe70958794a249a0df1d9e020e6dac7b2a94195fbdb8d904126952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f262a5dc24520757918a9ca20528fb247e33e9a4ad5f71f7082860aaa895f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2020-10-09T14:53:25Z",
    "title_canon_sha256": "fa7e5dc2089aec7b15019fb07a96d1eea28ac42dfbd08e13da58701be83946f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.04616",
    "kind": "arxiv",
    "version": 2
  }
}