Pith Number

pith:O5JC6D33

pith:2022:O5JC6D33RTXZEM4MUX7MWRYG5N

not attested not anchored not stored refs pending

Variational construction of connecting orbits between Legendrian graphs

Jun Yan, Kai Zhao, Liang Jin

arxiv:2208.13199 v2 · 2022-08-28 · 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{O5JC6D33RTXZEM4MUX7MWRYG5N}

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	2026-07-05T04:53:05.237956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77522f0f7b8cef92338ca5fecb4706eb7999d5d9f919c2624c1fc7b2671bcd37

Aliases

arxiv: 2208.13199 · arxiv_version: 2208.13199v2 · doi: 10.48550/arxiv.2208.13199 · pith_short_12: O5JC6D33RTXZ · pith_short_16: O5JC6D33RTXZEM4M · pith_short_8: O5JC6D33

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/O5JC6D33RTXZEM4MUX7MWRYG5N \
  | 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: 77522f0f7b8cef92338ca5fecb4706eb7999d5d9f919c2624c1fc7b2671bcd37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a6147ce2d3e9069ae6a7d2acba6279600b3a7463041d96c6b9fe7ec7bf1246",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-08-28T11:15:28Z",
    "title_canon_sha256": "3eaa8dc6fe050996104145d567148a276cf3ad14fe0a90618dc40b4a78fefae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.13199",
    "kind": "arxiv",
    "version": 2
  }
}