Pith Number

pith:GB4T43NU

pith:2012:GB4T43NUVDM5T76V4YNWSQCPJM

not attested not anchored not stored refs pending

Lagrangian and Hamiltonian Structures for the Constant Astigmatism Equation

Maxim V. Pavlov, Sergej A. Zykov

arxiv:1212.6239 v2 · 2012-12-26 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GB4T43NUVDM5T76V4YNWSQCPJM}

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	2026-05-18T01:52:23.302002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30793e6db4a8d9d9ffd5e61b69404f4b1b0daeffb5f992047b66b1a7222210fa

Aliases

arxiv: 1212.6239 · arxiv_version: 1212.6239v2 · doi: 10.48550/arxiv.1212.6239 · pith_short_12: GB4T43NUVDM5 · pith_short_16: GB4T43NUVDM5T76V · pith_short_8: GB4T43NU

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/GB4T43NUVDM5T76V4YNWSQCPJM \
  | 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: 30793e6db4a8d9d9ffd5e61b69404f4b1b0daeffb5f992047b66b1a7222210fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "980d89172f80fc9bf43f95c15ca751be9cab47d67c608796139f10bfb06d2207",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2012-12-26T19:56:12Z",
    "title_canon_sha256": "fbbc5071035fbd0e33078ca4038264595e2399d55b1282d06e71d66cc2c8fc59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6239",
    "kind": "arxiv",
    "version": 2
  }
}