Pith Number

pith:ABNSSKET

pith:2000:ABNSSKETP63X2ICDZZFXH5TZVE

not attested not anchored not stored refs pending

The Trajectory-Coherent Approximation and the System of Moments for the Hartree-Type Equation

A.V. Shapovalov(Tomsk State University), A.Yu. Trifonov(Tomsk Polytechnic University), Mathematics), V.V. Belov (Moscow Institute of Electronics

arxiv:math-ph/0012046 v1 · 2000-12-28 · 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{ABNSSKETP63X2ICDZZFXH5TZVE}

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	2026-05-18T01:05:32.108296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

005b2928937fb77d2043ce4b73f679a92c26f0c1a9c292ea261f655cde5cdc71

Aliases

arxiv: math-ph/0012046 · arxiv_version: math-ph/0012046v1 · doi: 10.48550/arxiv.math-ph/0012046 · pith_short_12: ABNSSKETP63X · pith_short_16: ABNSSKETP63X2ICD · pith_short_8: ABNSSKET

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/ABNSSKETP63X2ICDZZFXH5TZVE \
  | 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: 005b2928937fb77d2043ce4b73f679a92c26f0c1a9c292ea261f655cde5cdc71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ea91fab2c039d18f7d0ba20227dcaff3eb2628c541230eb5d4725c06aa7ba1b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-12-28T10:45:38Z",
    "title_canon_sha256": "a3f4ca10718230478e2c34ccbd1af5c66bae961db7d1a9eef8e5e218436961a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0012046",
    "kind": "arxiv",
    "version": 1
  }
}