Pith Number

pith:FSOC36C5

pith:2025:FSOC36C5VL3EGS5VP3YLFHSHBF

not attested not anchored not stored refs pending

Spectral skeletons and applications

Wenqian Zhang

arxiv:2501.14218 v2 · 2025-01-24 · 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{FSOC36C5VL3EGS5VP3YLFHSHBF}

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.

Cited by

1 paper in Pith

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture

Receipt and verification

First computed	2026-07-05T10:31:00.854286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c9c2df85daaf6434bb57ef0b29e47094b9597b4795b132799e6e549b20b072b

Aliases

arxiv: 2501.14218 · arxiv_version: 2501.14218v2 · doi: 10.48550/arxiv.2501.14218 · pith_short_12: FSOC36C5VL3E · pith_short_16: FSOC36C5VL3EGS5V · pith_short_8: FSOC36C5

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/FSOC36C5VL3EGS5VP3YLFHSHBF \
  | 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: 2c9c2df85daaf6434bb57ef0b29e47094b9597b4795b132799e6e549b20b072b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49e0ad103d9043efed06071baf298a3558a54f82cfa2a4928acd9803b022cd0e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-24T03:50:05Z",
    "title_canon_sha256": "52b74feaaaf1bbe5e1329fd653b051738b8c35e92b4697d032914136dfa57c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.14218",
    "kind": "arxiv",
    "version": 2
  }
}