Pith Number

pith:TC6OZ3NA

pith:2026:TC6OZ3NAPO2ARZ7HWYKBD5M7EU

not attested not anchored not stored refs pending

Counting Small Induced Subgraphs: Hardness of Symmetry-Based Properties

Mingjun Liu, Radu Curticapean

arxiv:2606.31803 v1 · 2026-06-30 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TC6OZ3NAPO2ARZ7HWYKBD5M7EU}

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	2026-07-01T01:18:15.738899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98bceceda07bb408e7e7b61411f59f25119204af1357c18e6917ee3b5380304b

Aliases

arxiv: 2606.31803 · arxiv_version: 2606.31803v1 · doi: 10.48550/arxiv.2606.31803 · pith_short_12: TC6OZ3NAPO2A · pith_short_16: TC6OZ3NAPO2ARZ7H · pith_short_8: TC6OZ3NA

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/TC6OZ3NAPO2ARZ7HWYKBD5M7EU \
  | 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: 98bceceda07bb408e7e7b61411f59f25119204af1357c18e6917ee3b5380304b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bbe19266c19d7bd271da14b0c2210b0b5a8d2c026b4ed8bb0e2db63f6232a57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-06-30T15:21:13Z",
    "title_canon_sha256": "29b418af1c97311f00760cdc2a1a9a824cf2c958cdc0a90c0821233a880dc116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31803",
    "kind": "arxiv",
    "version": 1
  }
}