Pith Number

pith:5KBZTX5T

pith:2011:5KBZTX5TY4RJ62UJIIMJXVCSVQ

not attested not anchored not stored refs pending

The Generalised Zakharov-Shabat System and the Gauge Group Action

Georgi G. Grahovski

arxiv:1109.5108 v2 · 2011-09-23 · nlin.SI · hep-th · 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{5KBZTX5TY4RJ62UJIIMJXVCSVQ}

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	2026-05-18T03:50:25.760886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea8399dfb3c7229f6a8942189bd452ac39babfe6f38ac99e9291f78b18096d1f

Aliases

arxiv: 1109.5108 · arxiv_version: 1109.5108v2 · doi: 10.48550/arxiv.1109.5108 · pith_short_12: 5KBZTX5TY4RJ · pith_short_16: 5KBZTX5TY4RJ62UJ · pith_short_8: 5KBZTX5T

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/5KBZTX5TY4RJ62UJIIMJXVCSVQ \
  | 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: ea8399dfb3c7229f6a8942189bd452ac39babfe6f38ac99e9291f78b18096d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff026c018b2f7a0f1a9424697baa72efba0777d9ff363a174533fbb152c599f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-09-23T15:10:05Z",
    "title_canon_sha256": "215cdcab14a182fd70a50ad57afbf073cee74b0f9df84c977217ae9c128ec5d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5108",
    "kind": "arxiv",
    "version": 2
  }
}