Pith Number

pith:5WTY7W45

pith:2011:5WTY7W453DEPVCX435IRNJ7IWU

not attested not anchored not stored refs pending

Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces

Fernando D. Mera

arxiv:1106.1597 v3 · 2011-06-08 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WTY7W453DEPVCX435IRNJ7IWU}

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	2026-05-18T03:58:14.144868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda78fdb9dd8c8fa8afcdf5116a7e8b51545db1c36562111eb838b5a8498b813

Aliases

arxiv: 1106.1597 · arxiv_version: 1106.1597v3 · doi: 10.48550/arxiv.1106.1597 · pith_short_12: 5WTY7W453DEP · pith_short_16: 5WTY7W453DEPVCX4 · pith_short_8: 5WTY7W45

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/5WTY7W453DEPVCX435IRNJ7IWU \
  | 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: eda78fdb9dd8c8fa8afcdf5116a7e8b51545db1c36562111eb838b5a8498b813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be4707dfd8248c9d6bfe4bc2d4b079c06a27b58b2bc2edb1e41a6be238c9f05",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-08T16:53:54Z",
    "title_canon_sha256": "c59098fd5d759cfbb7e0743bd3c606e225c461a6da33a67807a5ecf25eb84555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1597",
    "kind": "arxiv",
    "version": 3
  }
}