Pith Number

pith:27YLWHDW

pith:2011:27YLWHDWJR5BM465XWGY2KJVWJ

not attested not anchored not stored refs pending

Evolution equations of the second and third order with Lie-B\"{a}cklund symmetries

Nail H. Ibragimov

arxiv:1111.3002 v1 · 2011-11-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27YLWHDWJR5BM465XWGY2KJVWJ}

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	2026-05-18T04:08:23.248366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f0bb1c764c7a1673ddbd8d8d2935b251a6b95eddb7a0d2d92bc08955dfd1c4

Aliases

arxiv: 1111.3002 · arxiv_version: 1111.3002v1 · doi: 10.48550/arxiv.1111.3002 · pith_short_12: 27YLWHDWJR5B · pith_short_16: 27YLWHDWJR5BM465 · pith_short_8: 27YLWHDW

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/27YLWHDWJR5BM465XWGY2KJVWJ \
  | 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: d7f0bb1c764c7a1673ddbd8d8d2935b251a6b95eddb7a0d2d92bc08955dfd1c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1d2c1a515dd748703949d7873913a41fac52d60eff7afc40de7b5d3d9b77bd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-13T11:49:31Z",
    "title_canon_sha256": "78909ef1eb6c841b2625e4e20b93ba878c2e22b7966a6d9a8573c68b28e4d098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3002",
    "kind": "arxiv",
    "version": 1
  }
}