Pith Number

pith:45H7UMQF

pith:2016:45H7UMQFSYVLVQ6G5ATAL45C3U

not attested not anchored not stored refs pending

Fractional Echoes

B. Lavorel, E. Hertz, Erez Gershnabel, F. Billard, G. Karras, G. Siour, Ilya Sh. Averbukh, J.-M. Hartmann, O. Faucher, Yehiam Prior

arxiv:1603.01219 v1 · 2016-03-03 · physics.optics · physics.atom-ph · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45H7UMQFSYVLVQ6G5ATAL45C3U}

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	2026-05-18T00:38:11.564397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74ffa3205962abac3c6e82605f3a2dd28f5f7478d05e14b04c614f9beec5f2f

Aliases

arxiv: 1603.01219 · arxiv_version: 1603.01219v1 · doi: 10.48550/arxiv.1603.01219 · pith_short_12: 45H7UMQFSYVL · pith_short_16: 45H7UMQFSYVLVQ6G · pith_short_8: 45H7UMQF

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/45H7UMQFSYVLVQ6G5ATAL45C3U \
  | 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: e74ffa3205962abac3c6e82605f3a2dd28f5f7478d05e14b04c614f9beec5f2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec57fafb67bed90b12c7f9440e7887c774c5fd9377a620708ddc19e3cfe1b61",
    "cross_cats_sorted": [
      "physics.atom-ph",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-03-03T18:52:39Z",
    "title_canon_sha256": "18b30db5c00d2b9dbba2a7a97fb3bdd6217fcfa85d21496d7f7a2074134f231c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01219",
    "kind": "arxiv",
    "version": 1
  }
}