Pith Number

pith:34ZWMVFT

pith:2026:34ZWMVFTURVYMHAT4DZBP2O2PG

not attested not anchored not stored refs pending

Automorphism Groups in Extremal Families of Polyhedral Graphs

Bobby Miraftab, Riccardo W. Maffucci

arxiv:2607.26842 v1 · 2026-07-29 · 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{34ZWMVFTURVYMHAT4DZBP2O2PG}

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	2026-07-30T01:22:30.496048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

df336654b3a46b861c13e0f217e9da79b8954cfd620261426ee6a469855cca0a

Aliases

arxiv: 2607.26842 · arxiv_version: 2607.26842v1 · doi: 10.48550/arxiv.2607.26842 · pith_short_12: 34ZWMVFTURVY · pith_short_16: 34ZWMVFTURVYMHAT · pith_short_8: 34ZWMVFT

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/34ZWMVFTURVYMHAT4DZBP2O2PG \
  | 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: df336654b3a46b861c13e0f217e9da79b8954cfd620261426ee6a469855cca0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc3d99ce0ac991cf9f8e901ef3ea8014de2465080512ea867bad13788f8a4abc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-29T12:30:26Z",
    "title_canon_sha256": "33927072bf6b4e4a772a2ade03119dcbb5c2d04b3abbae2af8e0794d95e2bb94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26842",
    "kind": "arxiv",
    "version": 1
  }
}