Pith Number

pith:ODOPUISJ

pith:2019:ODOPUISJ7LVJU3NJT25LVDRCZ5

not attested not anchored not stored refs pending

Magnification Cross Sections for the Elliptic Umbilic Caustic Surface

Amir B. Aazami, Arlie O. Petters, Charles R. Keeton

arxiv:1905.11974 v2 · 2019-05-28 · astro-ph.CO · 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{ODOPUISJ7LVJU3NJT25LVDRCZ5}

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	2026-05-17T23:39:30.104935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70dcfa2249faea9a6da99ebaba8e22cf75d81510a3ab6d3a7d55be2ab26d397e

Aliases

arxiv: 1905.11974 · arxiv_version: 1905.11974v2 · doi: 10.48550/arxiv.1905.11974 · pith_short_12: ODOPUISJ7LVJ · pith_short_16: ODOPUISJ7LVJU3NJ · pith_short_8: ODOPUISJ

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/ODOPUISJ7LVJU3NJT25LVDRCZ5 \
  | 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: 70dcfa2249faea9a6da99ebaba8e22cf75d81510a3ab6d3a7d55be2ab26d397e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa29c1b1ebcb180f7e1b267177bbe95807c7f6d3a0c948319d512deaf641892c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-05-28T17:49:46Z",
    "title_canon_sha256": "2e5dedbdcee0cce1e7a4edaec0a3ce8e8c78305351a63a11d53160e3d1885616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11974",
    "kind": "arxiv",
    "version": 2
  }
}