Pith Number

pith:JPXPQ6VV

pith:2015:JPXPQ6VV5Q352OHHXENGPZXUAW

not attested not anchored not stored refs pending

The automorphism group of the $s$-stable Kneser graphs

Pablo Torres

arxiv:1509.09185 v2 · 2015-09-30 · 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{JPXPQ6VV5Q352OHHXENGPZXUAW}

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	2026-05-18T01:26:17.745431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4beef87ab5ec37dd38e7b91a67e6f405a8f791f20eb8ee18812611cafc303caf

Aliases

arxiv: 1509.09185 · arxiv_version: 1509.09185v2 · doi: 10.48550/arxiv.1509.09185 · pith_short_12: JPXPQ6VV5Q35 · pith_short_16: JPXPQ6VV5Q352OHH · pith_short_8: JPXPQ6VV

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/JPXPQ6VV5Q352OHHXENGPZXUAW \
  | 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: 4beef87ab5ec37dd38e7b91a67e6f405a8f791f20eb8ee18812611cafc303caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0623ad822c453218fde601f48ac5656e5c38358b884b1a182205ee864c5af7cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-30T14:18:34Z",
    "title_canon_sha256": "4a85ae197e4562777fa8a75224e01364766f30b29185030b2b6c3271ca53f959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09185",
    "kind": "arxiv",
    "version": 2
  }
}