Pith Number

pith:ATCXCA6N

pith:2017:ATCXCA6NVOWN76PKUMKOHMKWM5

not attested not anchored not stored refs pending

Forbidden subgraphs for graphs of bounded spectral radius, with applications to equiangular lines

Alexandr Polyanskii, Zilin Jiang

arxiv:1708.02317 v3 · 2017-08-07 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATCXCA6NVOWN76PKUMKOHMKWM5}

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

Open problems in the spectral theory of signed graphs

Receipt and verification

First computed	2026-07-05T01:07:09.718134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c57103cdabacdff9eaa314e3b15667620a0218b578ebef4f28b5d6c62cff91

Aliases

arxiv: 1708.02317 · arxiv_version: 1708.02317v3 · doi: 10.48550/arxiv.1708.02317 · pith_short_12: ATCXCA6NVOWN · pith_short_16: ATCXCA6NVOWN76PK · pith_short_8: ATCXCA6N

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/ATCXCA6NVOWN76PKUMKOHMKWM5 \
  | 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: 04c57103cdabacdff9eaa314e3b15667620a0218b578ebef4f28b5d6c62cff91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee20c599e9616abd90402fecb214b73bf23d72b3a42a479ddbbcd48239bffe69",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-07T21:59:04Z",
    "title_canon_sha256": "b25a6ce2e7903515d99cf453c5dd4b582a583e6ed29f9e822b2955f80f7645e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02317",
    "kind": "arxiv",
    "version": 3
  }
}