Pith Number

pith:WYJ7FCW5

pith:2016:WYJ7FCW553YBPJIN2YVEPGFZEN

not attested not anchored not stored refs pending

Merging the A- and Q-spectral theories

V. Nikiforov

arxiv:1607.03015 v1 · 2016-07-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYJ7FCW553YBPJIN2YVEPGFZEN}

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	2026-05-18T01:11:14.163440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b613f28addeef017a50dd62a4798b9234470ce7886ca7aa4a1987f32e138885c

Aliases

arxiv: 1607.03015 · arxiv_version: 1607.03015v1 · doi: 10.48550/arxiv.1607.03015 · pith_short_12: WYJ7FCW553YB · pith_short_16: WYJ7FCW553YBPJIN · pith_short_8: WYJ7FCW5

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/WYJ7FCW553YBPJIN2YVEPGFZEN \
  | 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: b613f28addeef017a50dd62a4798b9234470ce7886ca7aa4a1987f32e138885c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a66e7513f760f21ef715152cda31326ef6008860404ac696e6ba98007120d50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-11T16:14:56Z",
    "title_canon_sha256": "a1af5a567e4d6dfe664763664a42723e8fde760b259008762d2c1c196c22d9bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03015",
    "kind": "arxiv",
    "version": 1
  }
}