Pith Number

pith:K7TPEADM

pith:2015:K7TPEADMN2MT5SGFA6VS722MHG

not attested not anchored not stored refs pending

On the method of directly defining inverse mapping for nonlinear differential equations

Shijun Liao, Yinlong Zhao

arxiv:1507.03755 v2 · 2015-07-14 · math.NA · 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{K7TPEADMN2MT5SGFA6VS722MHG}

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	2026-05-18T00:36:10.095547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e6f2006c6e993ec8c507ab2feb4c39948ad60d4747f4fa512e3024ca8b5de0

Aliases

arxiv: 1507.03755 · arxiv_version: 1507.03755v2 · doi: 10.48550/arxiv.1507.03755 · pith_short_12: K7TPEADMN2MT · pith_short_16: K7TPEADMN2MT5SGF · pith_short_8: K7TPEADM

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/K7TPEADMN2MT5SGFA6VS722MHG \
  | 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: 57e6f2006c6e993ec8c507ab2feb4c39948ad60d4747f4fa512e3024ca8b5de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d9e820ada6d539f9440f6812509dbbca8e00235d82006a24a37367bb2df024",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-14T08:08:37Z",
    "title_canon_sha256": "30563aa58fc0f20364bc1a12ba3ab83c66a3a14f9c59b855ccc85b8190d5f8b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03755",
    "kind": "arxiv",
    "version": 2
  }
}