Pith Number

pith:GR4ANK7J

pith:2010:GR4ANK7JEX4RM46XNL2H66BXJV

not attested not anchored not stored refs pending

Applying numerical continuation to the parameter dependence of solutions of the Schr\"odinger equation

Jan Broeckhove, Przemys{\l}aw K{\l}osiewicz, Wim Vanroose

arxiv:1011.6515 v1 · 2010-11-30 · math-ph · math.DS · 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{GR4ANK7JEX4RM46XNL2H66BXJV}

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	2026-05-18T04:34:26.731491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347806abe925f91673d76af47f78374d5b56d937c0320b3c1b0128c0700fa02a

Aliases

arxiv: 1011.6515 · arxiv_version: 1011.6515v1 · doi: 10.48550/arxiv.1011.6515 · pith_short_12: GR4ANK7JEX4R · pith_short_16: GR4ANK7JEX4RM46X · pith_short_8: GR4ANK7J

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/GR4ANK7JEX4RM46XNL2H66BXJV \
  | 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: 347806abe925f91673d76af47f78374d5b56d937c0320b3c1b0128c0700fa02a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f71a7ff85f14fca42d1379e190a9bb11167f3493a76663d469a4c2c383f89a",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-30T11:29:29Z",
    "title_canon_sha256": "1a0af9e5f74f2d69cec81bbe90c3c902d1ed36cbe35768c305681f2d095a3a3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6515",
    "kind": "arxiv",
    "version": 1
  }
}