Pith Number

pith:4TBUZJVD

pith:2011:4TBUZJVDURJ5VMO77ED2KIWLGE

not attested not anchored not stored refs pending

Function expansion methods for solving autonomous nonlinear partial differential equations

Mahouton Norbert Hounkonnou, Pascal Alain Dkengne Sielenou

arxiv:1110.0238 v1 · 2011-10-02 · 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{4TBUZJVDURJ5VMO77ED2KIWLGE}

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	2026-05-18T04:11:50.439195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c34ca6a3a453dab1dff907a522cb3123ca7f14e96355548a6029577915d9bc

Aliases

arxiv: 1110.0238 · arxiv_version: 1110.0238v1 · doi: 10.48550/arxiv.1110.0238 · pith_short_12: 4TBUZJVDURJ5 · pith_short_16: 4TBUZJVDURJ5VMO7 · pith_short_8: 4TBUZJVD

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/4TBUZJVDURJ5VMO77ED2KIWLGE \
  | 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: e4c34ca6a3a453dab1dff907a522cb3123ca7f14e96355548a6029577915d9bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d86e97b3250cde2ccc15f8b40b7aec3782ec9b14711929e25aec00b1b1bc34",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-02T22:06:39Z",
    "title_canon_sha256": "bd3d627651d3dadb40d9324c25f5304286a63940478662375daccafbca3386c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0238",
    "kind": "arxiv",
    "version": 1
  }
}