Pith Number

pith:MTVI4BFT

pith:2010:MTVI4BFT3XITWGBLKQSY3LX6WW

not attested not anchored not stored refs pending

Symmetry properties of subdivision graphs

Alice Devillers, Ashraf Daneshkhah, Cheryl E. Praeger

arxiv:1008.2261 v2 · 2010-08-13 · math.GR · 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{MTVI4BFT3XITWGBLKQSY3LX6WW}

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	2026-05-18T04:31:29.834839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ea8e04b3ddd13b182b54258daefeb58f1bd5696dd1d61469c425aceadd6b6a

Aliases

arxiv: 1008.2261 · arxiv_version: 1008.2261v2 · doi: 10.48550/arxiv.1008.2261 · pith_short_12: MTVI4BFT3XIT · pith_short_16: MTVI4BFT3XITWGBL · pith_short_8: MTVI4BFT

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/MTVI4BFT3XITWGBLKQSY3LX6WW \
  | 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: 64ea8e04b3ddd13b182b54258daefeb58f1bd5696dd1d61469c425aceadd6b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742122ad120d11ef0d94a359334f884f5b458e05d2c9017db7818b8a05418f18",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-13T07:42:02Z",
    "title_canon_sha256": "0df318e5a046e76d34cd089a3d1f9cae86f9123b27bc503638887e078603377f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2261",
    "kind": "arxiv",
    "version": 2
  }
}