Pith Number

pith:JC4YHRQO

pith:2011:JC4YHRQOFUOCJUJFQZQSVRIOGJ

not attested not anchored not stored refs pending

Contact Integrable Extensions and Zero-Curvature Representations for the Second Heavenly Equation

Oleg I. Morozov

arxiv:1104.3011 v3 · 2011-04-15 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JC4YHRQOFUOCJUJFQZQSVRIOGJ}

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	2026-05-18T04:22:41.011418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b983c60e2d1c24d12586612ac50e3267ea49d5c3e6c3d3edfd469121c711be

Aliases

arxiv: 1104.3011 · arxiv_version: 1104.3011v3 · doi: 10.48550/arxiv.1104.3011 · pith_short_12: JC4YHRQOFUOC · pith_short_16: JC4YHRQOFUOCJUJF · pith_short_8: JC4YHRQO

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/JC4YHRQOFUOCJUJFQZQSVRIOGJ \
  | 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: 48b983c60e2d1c24d12586612ac50e3267ea49d5c3e6c3d3edfd469121c711be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb0f802ff5b7c535cbacd7a7ac4058cd304cf27e819ea3e999442a784a7e59f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-15T10:56:06Z",
    "title_canon_sha256": "690db91dcbcb58a6f03f76c96b566ba6d55d242601012d2b38b65cb2915bcaf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3011",
    "kind": "arxiv",
    "version": 3
  }
}