Pith Number

pith:SD6Z5R5M

pith:2016:SD6Z5R5MZDJR5DM5GQIFQ7MP3B

not attested not anchored not stored refs pending

Examples of Plentiful Discrete Spectra in0 Infinite Spatial Cruciform Quantum Waveguides

F.L. Bakharev, S.A. Nazarov, S. G. Matveenko

arxiv:1604.05564 v1 · 2016-04-19 · math.SP · math-ph · math.AP · 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{SD6Z5R5MZDJR5DM5GQIFQ7MP3B}

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	2026-05-18T01:16:38.393868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90fd9ec7acc8d31e8d9d3410587d8fd850d1243fda76394c12b34898484c4b3c

Aliases

arxiv: 1604.05564 · arxiv_version: 1604.05564v1 · doi: 10.48550/arxiv.1604.05564 · pith_short_12: SD6Z5R5MZDJR · pith_short_16: SD6Z5R5MZDJR5DM5 · pith_short_8: SD6Z5R5M

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/SD6Z5R5MZDJR5DM5GQIFQ7MP3B \
  | 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: 90fd9ec7acc8d31e8d9d3410587d8fd850d1243fda76394c12b34898484c4b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8db0cea96ded084d040f283d3d680412f6d6996a497f4087e3393dd57c3cb7",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-04-19T13:37:52Z",
    "title_canon_sha256": "19cd6ee3c75d2c1c0b0fd4df6b3a6c7e1d49e5b1764bb2f331c63e1e51ab6d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05564",
    "kind": "arxiv",
    "version": 1
  }
}