Pith Number

pith:ZCAZIVSF

pith:2015:ZCAZIVSFPGTS6USSGE7UZVW4IP

not attested not anchored not stored refs pending

Structure of the automorphism group of the augmented cube graph

Ashwin Ganesan

arxiv:1508.07257 v1 · 2015-08-27 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCAZIVSFPGTS6USSGE7UZVW4IP}

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	2026-05-18T01:34:36.503720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c88194564579a72f5252313f4cd6dc43deabad00bb8cfc2bb53f0508f7adabb9

Aliases

arxiv: 1508.07257 · arxiv_version: 1508.07257v1 · doi: 10.48550/arxiv.1508.07257 · pith_short_12: ZCAZIVSFPGTS · pith_short_16: ZCAZIVSFPGTS6USS · pith_short_8: ZCAZIVSF

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/ZCAZIVSFPGTS6USSGE7UZVW4IP \
  | 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: c88194564579a72f5252313f4cd6dc43deabad00bb8cfc2bb53f0508f7adabb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b22a388bb772714658b95de80539506d83ec15b1ce46a422896ae9f6527bdccc",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-27T17:03:40Z",
    "title_canon_sha256": "4e57143014faf76d40aca381b5d408622bad0a1542dcf82e28e9634fe35145eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07257",
    "kind": "arxiv",
    "version": 1
  }
}