Pith Number

pith:PKYDQ4FN

pith:2013:PKYDQ4FNKUFCINBABFT5KGKA3L

not attested not anchored not stored refs pending

Comment on `Comment on `Some novel delta-function identities' by Charles P Frahm (Am. J. Phys 51 826--9 (1983))' by J. Franklin (Am. J. Phys 78 1225--26 (2010))

Ricardo Estrada, Yunyun Yang

arxiv:1308.2262 v2 · 2013-08-10 · 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{PKYDQ4FNKUFCINBABFT5KGKA3L}

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	2026-05-18T03:14:51.690241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab03870ad550a2434200967d51940daf3253b1f7c745b5ca5ac350b7fcd3876

Aliases

arxiv: 1308.2262 · arxiv_version: 1308.2262v2 · doi: 10.48550/arxiv.1308.2262 · pith_short_12: PKYDQ4FNKUFC · pith_short_16: PKYDQ4FNKUFCINBA · pith_short_8: PKYDQ4FN

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/PKYDQ4FNKUFCINBABFT5KGKA3L \
  | 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: 7ab03870ad550a2434200967d51940daf3253b1f7c745b5ca5ac350b7fcd3876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b9b43ea7f0653866b8f4f072c268ba04b8631c7c7ec14def127abdf266dd59",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-10T00:14:55Z",
    "title_canon_sha256": "9a0f0b64c6294e84150c2f01174a1329e399e7389cf0d111a3ba1ba857abc856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2262",
    "kind": "arxiv",
    "version": 2
  }
}