Pith Number

pith:HCYXXNEG

pith:2007:HCYXXNEGEG3BXLEO5N3R5Y6WCV

not attested not anchored not stored refs pending

Dispersionful analogue of the Whitham hierarchy

Blazej M. Szablikowski, Maciej Blaszak

arxiv:0707.1082 v1 · 2007-07-07 · nlin.SI · 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{HCYXXNEGEG3BXLEO5N3R5Y6WCV}

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	2026-05-18T01:20:31.918772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b17bb48621b61bac8eeb771ee3d6157b70209f0450bd88c741b27984c6fb69

Aliases

arxiv: 0707.1082 · arxiv_version: 0707.1082v1 · doi: 10.48550/arxiv.0707.1082 · pith_short_12: HCYXXNEGEG3B · pith_short_16: HCYXXNEGEG3BXLEO · pith_short_8: HCYXXNEG

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/HCYXXNEGEG3BXLEO5N3R5Y6WCV \
  | 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: 38b17bb48621b61bac8eeb771ee3d6157b70209f0450bd88c741b27984c6fb69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8c7a6b688d82954272dc29a57409ba16e2fb5fbab57370946b5ddf770704e38",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2007-07-07T11:38:02Z",
    "title_canon_sha256": "0bdef84792ed1bf66aa37899e2b98142807360f44643ce9577567b6608c1558a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1082",
    "kind": "arxiv",
    "version": 1
  }
}