Pith Number

pith:E4D7SREG

pith:2021:E4D7SREGWLMB2MNLDWR7X26TSR

not attested not anchored not stored refs pending

On graphs with exactly one anti-adjacency eigenvalue and beyond

Hakan Kucuk, Jianfeng Wang, Mei Lu, Sezer Sorgun, Xingyu Lei

arxiv:2102.09292 v2 · 2021-02-18 · 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{E4D7SREGWLMB2MNLDWR7X26TSR}

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	2026-07-05T03:26:15.322152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2707f94486b2d81d31ab1da3fbebd39441b11bc1ccc70188bb06b5b2f2bb0ed6

Aliases

arxiv: 2102.09292 · arxiv_version: 2102.09292v2 · doi: 10.48550/arxiv.2102.09292 · pith_short_12: E4D7SREGWLMB · pith_short_16: E4D7SREGWLMB2MNL · pith_short_8: E4D7SREG

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/E4D7SREGWLMB2MNLDWR7X26TSR \
  | 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: 2707f94486b2d81d31ab1da3fbebd39441b11bc1ccc70188bb06b5b2f2bb0ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f88ec490f11df3246c6b26986df180571ae9471a14a3593c21f557a6cd3d2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-02-18T12:14:22Z",
    "title_canon_sha256": "a338b90c0f2a22a80fabb35d249ce451d208e46dd15e8a593c5d279b27f46d0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09292",
    "kind": "arxiv",
    "version": 2
  }
}