Pith Number

pith:CRITOTNT

pith:2018:CRITOTNT36JVMTLHQ3KTM654GS

not attested not anchored not stored refs pending

Extremal $G$-free induced subgraphs of Kneser graphs

Ali Taherkhani, Meysam Alishahi

arxiv:1801.03972 v2 · 2018-01-11 · 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{CRITOTNT36JVMTLHQ3KTM654GS}

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	2026-05-18T00:20:46.343296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1451374db3df93564d6786d5367bbc349549aee33801da1992664537431859a0

Aliases

arxiv: 1801.03972 · arxiv_version: 1801.03972v2 · doi: 10.48550/arxiv.1801.03972 · pith_short_12: CRITOTNT36JV · pith_short_16: CRITOTNT36JVMTLH · pith_short_8: CRITOTNT

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/CRITOTNT36JVMTLHQ3KTM654GS \
  | 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: 1451374db3df93564d6786d5367bbc349549aee33801da1992664537431859a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4f5c4842d093ea6f2684de8454a3261f71836c2593927e99b11e5f7056b6c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-11T20:06:30Z",
    "title_canon_sha256": "afac57435d82ff0396e0c4d8b4fc509de74d12c497a4b7ebb096d13b57bac58c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03972",
    "kind": "arxiv",
    "version": 2
  }
}