Pith Number

pith:ZCL6GZDF

pith:2012:ZCL6GZDFOY4YAZVR6BIC7MSJF2

not attested not anchored not stored refs pending

Boundary perturbations and the Helmholtz equation in three dimensions

G. Hazra, S. Panda

arxiv:1212.1565 v1 · 2012-12-07 · 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{ZCL6GZDFOY4YAZVR6BIC7MSJF2}

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	2026-05-18T03:38:56.924581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c897e3646576398066b1f0502fb2492ebea2f42cb12c42857eec3e4404bb383f

Aliases

arxiv: 1212.1565 · arxiv_version: 1212.1565v1 · doi: 10.48550/arxiv.1212.1565 · pith_short_12: ZCL6GZDFOY4Y · pith_short_16: ZCL6GZDFOY4YAZVR · pith_short_8: ZCL6GZDF

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/ZCL6GZDFOY4YAZVR6BIC7MSJF2 \
  | 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: c897e3646576398066b1f0502fb2492ebea2f42cb12c42857eec3e4404bb383f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f2f3c998482fd92ed045314a1eb339b85d5c7c3353d9b2eae8b6093b9ea4af9",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-07T09:52:40Z",
    "title_canon_sha256": "d2a347432236a0212a9988c708a36e87346950679348654cd4c98056a20d4ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1565",
    "kind": "arxiv",
    "version": 1
  }
}