Pith Number

pith:47PHIYPV

pith:2011:47PHIYPV55TDVGFSO5MPFQNFDF

not attested not anchored not stored refs pending

A collocation method for solving some integral equations in distributions

Alexander G. Ramm, Sapto W. Indratno

arxiv:1108.5221 v1 · 2011-08-26 · math.NA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47PHIYPV55TDVGFSO5MPFQNFDF}

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	2026-05-18T04:14:38.714538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7de7461f5ef663a98b27758f2c1a5195121a0ef6328b0187cac9c544687326d

Aliases

arxiv: 1108.5221 · arxiv_version: 1108.5221v1 · doi: 10.48550/arxiv.1108.5221 · pith_short_12: 47PHIYPV55TD · pith_short_16: 47PHIYPV55TDVGFS · pith_short_8: 47PHIYPV

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/47PHIYPV55TDVGFSO5MPFQNFDF \
  | 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: e7de7461f5ef663a98b27758f2c1a5195121a0ef6328b0187cac9c544687326d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d912b31c78108001d2242d667201682921557c04ad87382bcc4203deafbb0e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-08-26T01:05:44Z",
    "title_canon_sha256": "5034a69b98f1eea10d161df4c59bf92c188017795587ea3282236d109046f445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5221",
    "kind": "arxiv",
    "version": 1
  }
}