Pith Number

pith:UTZPAHF6

pith:2011:UTZPAHF6FA57MH4V4F5DLJ4T3K

not attested not anchored not stored refs pending

Twisted hierarchies associated with the generalized sine-Gordon equation

Derchyi Wu, Hui Ma

arxiv:1103.6077 v1 · 2011-03-31 · nlin.SI · 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{UTZPAHF6FA57MH4V4F5DLJ4T3K}

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	2026-05-18T04:25:25.237950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f2f01cbe283bf61f95e17a35a793dab9a218a4fa67482ce17aeea4e2883c80

Aliases

arxiv: 1103.6077 · arxiv_version: 1103.6077v1 · doi: 10.48550/arxiv.1103.6077 · pith_short_12: UTZPAHF6FA57 · pith_short_16: UTZPAHF6FA57MH4V · pith_short_8: UTZPAHF6

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/UTZPAHF6FA57MH4V4F5DLJ4T3K \
  | 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: a4f2f01cbe283bf61f95e17a35a793dab9a218a4fa67482ce17aeea4e2883c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ced241507043bae241aa8c370148d254d49d6bdb4bd0066d3630f84045b93b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-03-31T02:42:03Z",
    "title_canon_sha256": "9e9136aa1f89e5ae0d661cf9587271e8a8800f6693cdf2427740e68efe157a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6077",
    "kind": "arxiv",
    "version": 1
  }
}