Pith Number

pith:72JJFWN2

pith:2010:72JJFWN2GVIP6XNSKSB2U7ADLF

not attested not anchored not stored refs pending

Solvable vector nonlinear Riemann problems, exact implicit solutions of dispersionless PDEs and wave breaking

P. M. Santini, S. V. Manakov

arxiv:1011.2619 v1 · 2010-11-11 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72JJFWN2GVIP6XNSKSB2U7ADLF}

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	2026-05-18T02:04:48.935115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9292d9ba3550ff5db25483aa7c03597560170bb877cf25603dbdda5ee200b7

Aliases

arxiv: 1011.2619 · arxiv_version: 1011.2619v1 · doi: 10.48550/arxiv.1011.2619 · pith_short_12: 72JJFWN2GVIP · pith_short_16: 72JJFWN2GVIP6XNS · pith_short_8: 72JJFWN2

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/72JJFWN2GVIP6XNSKSB2U7ADLF \
  | 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: fe9292d9ba3550ff5db25483aa7c03597560170bb877cf25603dbdda5ee200b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ac30e121e73f8222466da1bec10cdae24a5402e20ef1db896ba9407a8e8df1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-11-11T11:43:13Z",
    "title_canon_sha256": "9daf5880000aeb66590e3dd9f74b1fc6bcd5672b43306e57e79a3c59294f572b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2619",
    "kind": "arxiv",
    "version": 1
  }
}