Pith Number

pith:TLQMH5UR

pith:2011:TLQMH5UR6AKA5LIID2NL5OLNEB

not attested not anchored not stored refs pending

Multi-product expansion for Nonlinear Differential Equations

Juergen Geiser

arxiv:1110.5449 v1 · 2011-10-25 · math.DS · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLQMH5UR6AKA5LIID2NL5OLNEB}

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	2026-05-18T04:10:22.868264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae0c3f691f0140ead081e9abeb96d204ef1e2506a84d83b37fe7904841ada79

Aliases

arxiv: 1110.5449 · arxiv_version: 1110.5449v1 · doi: 10.48550/arxiv.1110.5449 · pith_short_12: TLQMH5UR6AKA · pith_short_16: TLQMH5UR6AKA5LII · pith_short_8: TLQMH5UR

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/TLQMH5UR6AKA5LIID2NL5OLNEB \
  | 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: 9ae0c3f691f0140ead081e9abeb96d204ef1e2506a84d83b37fe7904841ada79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "714cc39c54d8dd8d2ed3b4a6fc80ee6afd2dfe793d6e76f9348d45aca5ebe47f",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-25T09:23:29Z",
    "title_canon_sha256": "480e8e119700370626e5c9d11e65cb46966c419ad23a5e9a97768398b2739c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5449",
    "kind": "arxiv",
    "version": 1
  }
}