Pith Number

pith:UTCVYLNT

pith:2012:UTCVYLNT42TKMV3T2EKB4GTZQH

not attested not anchored not stored refs pending

Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation

Miren Zubeldia

arxiv:1201.0494 v2 · 2012-01-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTCVYLNT42TKMV3T2EKB4GTZQH}

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	2026-05-18T03:51:47.166771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c55c2db3e6a6a65773d1141e1a7981ca05451426d6e425e7742c888004e356

Aliases

arxiv: 1201.0494 · arxiv_version: 1201.0494v2 · doi: 10.48550/arxiv.1201.0494 · pith_short_12: UTCVYLNT42TK · pith_short_16: UTCVYLNT42TKMV3T · pith_short_8: UTCVYLNT

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/UTCVYLNT42TKMV3T2EKB4GTZQH \
  | 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: a4c55c2db3e6a6a65773d1141e1a7981ca05451426d6e425e7742c888004e356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7516885f53e61eec45c1602b3ad743a82ac157ffef2837ab06881128199c8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-02T16:55:19Z",
    "title_canon_sha256": "0aa952a2176622fe083f294fba8bcdf2f2efe07de50bd483abc9652a5e29eece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0494",
    "kind": "arxiv",
    "version": 2
  }
}