Pith Number

pith:3MMKCBMY

pith:2016:3MMKCBMY4CR5ALP74LKRDUSGEQ

not attested not anchored not stored refs pending

Mirror and cavity formations by chains of collectively radiating atoms

Qurrat-ul-Ain Gulfam, Zbigniew Ficek

arxiv:1607.04519 v1 · 2016-07-15 · quant-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{3MMKCBMY4CR5ALP74LKRDUSGEQ}

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	2026-05-18T00:57:11.632407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db18a10598e0a3d02dffe2d511d246240929d52b3f6fb83435fa578fbad28558

Aliases

arxiv: 1607.04519 · arxiv_version: 1607.04519v1 · doi: 10.48550/arxiv.1607.04519 · pith_short_12: 3MMKCBMY4CR5 · pith_short_16: 3MMKCBMY4CR5ALP7 · pith_short_8: 3MMKCBMY

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/3MMKCBMY4CR5ALP74LKRDUSGEQ \
  | 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: db18a10598e0a3d02dffe2d511d246240929d52b3f6fb83435fa578fbad28558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffbed87991c95c6817276c009f9e5b9718ca83aeeee83977dbe3b91a3eba1e6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-15T14:16:04Z",
    "title_canon_sha256": "35bd01070764f7b8b860a60dfacc0afd73ab1faa9648fcd3ee60e302c8784a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04519",
    "kind": "arxiv",
    "version": 1
  }
}