Pith Number

pith:5AKZM5V4

pith:2011:5AKZM5V4NPRPDT2TJRUNH4NSE3

not attested not anchored not stored refs pending

Structure of wave operators in R^3

Marius Beceanu

arxiv:1101.0502 v3 · 2011-01-03 · math.AP · math-ph · math.FA · 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{5AKZM5V4NPRPDT2TJRUNH4NSE3}

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	2026-05-18T03:57:27.370427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8159676bc6be2f1cf534c68d3f1b226c8b11e7c8783088b67eb191b84f62b33

Aliases

arxiv: 1101.0502 · arxiv_version: 1101.0502v3 · doi: 10.48550/arxiv.1101.0502 · pith_short_12: 5AKZM5V4NPRP · pith_short_16: 5AKZM5V4NPRPDT2T · pith_short_8: 5AKZM5V4

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/5AKZM5V4NPRPDT2TJRUNH4NSE3 \
  | 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: e8159676bc6be2f1cf534c68d3f1b226c8b11e7c8783088b67eb191b84f62b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e76ba50fd794c7e34ba4c2e4376190b79bb567e8d55c66b68535c29df095252",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-03T12:03:10Z",
    "title_canon_sha256": "c84effa651ab216efad53f3cde82543b4af072a75a8bd1304e44c4334f85e4ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0502",
    "kind": "arxiv",
    "version": 3
  }
}