Pith Number

pith:OUFH42WZ

pith:2017:OUFH42WZSEZ2EO773M4LA3ZIJV

not attested not anchored not stored refs pending

The spectra of lifted digraphs

C. Dalf\'o, J. \v{S}ir\'a\v{n}, M. A. Fiol

arxiv:1707.04463 v1 · 2017-07-14 · 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{OUFH42WZSEZ2EO773M4LA3ZIJV}

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	2026-05-18T00:40:18.106685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750a7e6ad99133a23bffdb38b06f284d51d6306d9af71a8c316512c83aa95e01

Aliases

arxiv: 1707.04463 · arxiv_version: 1707.04463v1 · doi: 10.48550/arxiv.1707.04463 · pith_short_12: OUFH42WZSEZ2 · pith_short_16: OUFH42WZSEZ2EO77 · pith_short_8: OUFH42WZ

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/OUFH42WZSEZ2EO773M4LA3ZIJV \
  | 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: 750a7e6ad99133a23bffdb38b06f284d51d6306d9af71a8c316512c83aa95e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26c4ddc94a5760078246c3cc996b73f4cd31a6ffaa868b488b41a3d78c8edaf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-14T11:19:43Z",
    "title_canon_sha256": "29e16119dfb69b464a2c4568d64e56abeec6a216ca57803d68fbed3c894c90cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04463",
    "kind": "arxiv",
    "version": 1
  }
}