Pith Number

pith:GFRK4ZVO

pith:2011:GFRK4ZVO5F3TIXDTT6R4FWAM4N

not attested not anchored not stored refs pending

Soliton surfaces via zero-curvature representation of differential equations

A. M. Grundland, S. Post

arxiv:1111.4162 v4 · 2011-11-17 · math-ph · math.MP · 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{GFRK4ZVO5F3TIXDTT6R4FWAM4N}

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	2026-05-18T01:59:31.573389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3162ae66aee977345c739fa3c2d80ce343ac4431bfb534ca650c16b3a1ede2f6

Aliases

arxiv: 1111.4162 · arxiv_version: 1111.4162v4 · doi: 10.48550/arxiv.1111.4162 · pith_short_12: GFRK4ZVO5F3T · pith_short_16: GFRK4ZVO5F3TIXDT · pith_short_8: GFRK4ZVO

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/GFRK4ZVO5F3TIXDTT6R4FWAM4N \
  | 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: 3162ae66aee977345c739fa3c2d80ce343ac4431bfb534ca650c16b3a1ede2f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5fbfd2b46e7d285d4722f599e2457c7d818b21a500261c0479b8b7f38527dc6",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-17T17:26:11Z",
    "title_canon_sha256": "f4ee9da8d1e55647f33891fddbf782b95f38aebd4b942f5cb37449febbe5f907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4162",
    "kind": "arxiv",
    "version": 4
  }
}