Pith Number

pith:YT3EH2PH

pith:2018:YT3EH2PHC6SUGUF7V4NV7YFP7M

not attested not anchored not stored refs pending

Lifting a prescribed group of automorphisms of graphs

Pablo Spiga, Primo\v{z} Poto\v{c}nik

arxiv:1801.02340 v1 · 2018-01-08 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YT3EH2PHC6SUGUF7V4NV7YFP7M}

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	2026-05-18T00:26:31.968129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f643e9e717a54350bfaf1b5fe0affb0e031e1364bf613d867ede2957262edc

Aliases

arxiv: 1801.02340 · arxiv_version: 1801.02340v1 · doi: 10.48550/arxiv.1801.02340 · pith_short_12: YT3EH2PHC6SU · pith_short_16: YT3EH2PHC6SUGUF7 · pith_short_8: YT3EH2PH

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/YT3EH2PHC6SUGUF7V4NV7YFP7M \
  | 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: c4f643e9e717a54350bfaf1b5fe0affb0e031e1364bf613d867ede2957262edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3f92f4473bbd5cf6372fb10a8d1b87b4524fe079fdb53f86997a39fda0f5509",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-08T08:45:02Z",
    "title_canon_sha256": "18f9e5ade7c5c9fb3f8a5d65e64287c1fbe080046362e8cdc8e71ec0078b3346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02340",
    "kind": "arxiv",
    "version": 1
  }
}