Pith Number

pith:QZXMMV52

pith:2017:QZXMMV52KSEYLRFY67ACCVPBM6

not attested not anchored not stored refs pending

A Grazing Gaussian Beam

James Ralston, Neelesh Tiruviluamala

arxiv:1707.03477 v1 · 2017-07-11 · 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{QZXMMV52KSEYLRFY67ACCVPBM6}

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	2026-05-18T00:40:25.895066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866ec657ba548985c4b8f7c02155e167b5336c7243577fa6dbebec1bd7e97b43

Aliases

arxiv: 1707.03477 · arxiv_version: 1707.03477v1 · doi: 10.48550/arxiv.1707.03477 · pith_short_12: QZXMMV52KSEY · pith_short_16: QZXMMV52KSEYLRFY · pith_short_8: QZXMMV52

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/QZXMMV52KSEYLRFY67ACCVPBM6 \
  | 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: 866ec657ba548985c4b8f7c02155e167b5336c7243577fa6dbebec1bd7e97b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8519078dde415a2fde816afad6c702d021efcfa7ef10a622321697ab92e22420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-11T22:09:47Z",
    "title_canon_sha256": "e935b94c9e33e7bf12d0e0b8533e58165628fc33a777faa8d3d0c311bbf409cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03477",
    "kind": "arxiv",
    "version": 1
  }
}