Pith Number

pith:WAHHAKB7

pith:2011:WAHHAKB77ST3X5DJQOJAVWLRXO

not attested not anchored not stored refs pending

Airy beams from a microchip laser

Stefano Longhi

arxiv:1102.0381 v1 · 2011-02-02 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAHHAKB77ST3X5DJQOJAVWLRXO}

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	2026-05-18T02:03:17.667821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b00e70283ffca7bbf46983920ad971bb8e6e848248af2711df4f5bec3eb63c0e

Aliases

arxiv: 1102.0381 · arxiv_version: 1102.0381v1 · doi: 10.48550/arxiv.1102.0381 · pith_short_12: WAHHAKB77ST3 · pith_short_16: WAHHAKB77ST3X5DJ · pith_short_8: WAHHAKB7

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/WAHHAKB77ST3X5DJQOJAVWLRXO \
  | 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: b00e70283ffca7bbf46983920ad971bb8e6e848248af2711df4f5bec3eb63c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c8ffc5acf2364376af01f127c34b77cb1158734a3a02accd4670bb21b1da35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-02-02T08:46:09Z",
    "title_canon_sha256": "71c86126f6fc6d4ab95081e2b34d3043a602020fba2e877d1603fe0ed94361e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0381",
    "kind": "arxiv",
    "version": 1
  }
}