Pith Number

pith:3YSHNCHO

pith:2013:3YSHNCHOGSUJAVG6EFASA5XPDD

not attested not anchored not stored refs pending

Global bifurcation for the Whitham equation

Henrik Kalisch, Mats Ehrnstrom

arxiv:1303.6721 v1 · 2013-03-27 · math.AP · 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{3YSHNCHOGSUJAVG6EFASA5XPDD}

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	2026-05-18T03:29:40.048080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de247688ee34a89054de21412076ef18c0754276e914c6accf8cb5cd88fc4f24

Aliases

arxiv: 1303.6721 · arxiv_version: 1303.6721v1 · doi: 10.48550/arxiv.1303.6721 · pith_short_12: 3YSHNCHOGSUJ · pith_short_16: 3YSHNCHOGSUJAVG6 · pith_short_8: 3YSHNCHO

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/3YSHNCHOGSUJAVG6EFASA5XPDD \
  | 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: de247688ee34a89054de21412076ef18c0754276e914c6accf8cb5cd88fc4f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4516a0558f17556bff0c44e06c47c19d7f9fca27a2293fda64288c245a4859",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-27T01:40:03Z",
    "title_canon_sha256": "600afcb391eceb7c72edf70a8d0498964cb88293088fb750c5f87982ca715577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6721",
    "kind": "arxiv",
    "version": 1
  }
}