Pith Number

pith:PW55OD75

pith:1997:PW55OD75NP3N2CW6Y6RGLD7ZOE

not attested not anchored not stored refs pending

Uniform semiclassical approximations for umbilic bifurcation catastrophes

G. Wunner, J. Main

arxiv:chao-dyn/9709010 v2 · 1997-09-09 · chao-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PW55OD75NP3N2CW6Y6RGLD7ZOE}

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	2026-05-18T01:07:24.628352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dbbd70ffd6bf6dd0adec7a2658ff9710fdc2a7d9e3205948229631362bcd6d0

Aliases

arxiv: chao-dyn/9709010 · arxiv_version: chao-dyn/9709010v2 · doi: 10.48550/arxiv.chao-dyn/9709010 · pith_short_12: PW55OD75NP3N · pith_short_16: PW55OD75NP3N2CW6 · pith_short_8: PW55OD75

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/PW55OD75NP3N2CW6Y6RGLD7ZOE \
  | 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: 7dbbd70ffd6bf6dd0adec7a2658ff9710fdc2a7d9e3205948229631362bcd6d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9baf3fb4655cc2511809c877889ee57926228019ebdd561cba446fdc98cf17",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1997-09-09T15:10:10Z",
    "title_canon_sha256": "c8ad843f21bc337ec978ae41bfdd5a98be210f771f1fe4e62389c727cab0a820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9709010",
    "kind": "arxiv",
    "version": 2
  }
}