Pith Number

pith:2TDLIV6R

pith:2013:2TDLIV6RU4Y2RODRRHLELD2WSP

not attested not anchored not stored refs pending

Maximal harmonic group actions on finite graphs

Scott Corry

arxiv:1301.3411 v2 · 2013-01-15 · math.CO · math.AG · 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{2TDLIV6RU4Y2RODRRHLELD2WSP}

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	2026-05-18T02:20:10.941732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c6b457d1a731a8b87189d6458f5693e7bd17a66ed1c00f3fcb98ebb548f87a

Aliases

arxiv: 1301.3411 · arxiv_version: 1301.3411v2 · doi: 10.48550/arxiv.1301.3411 · pith_short_12: 2TDLIV6RU4Y2 · pith_short_16: 2TDLIV6RU4Y2RODR · pith_short_8: 2TDLIV6R

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/2TDLIV6RU4Y2RODRRHLELD2WSP \
  | 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: d4c6b457d1a731a8b87189d6458f5693e7bd17a66ed1c00f3fcb98ebb548f87a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab69bfa2796498f436b3fe5678d378fbfb3f45f35d1a64bd8e2ce7d1714c49d8",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-15T16:52:15Z",
    "title_canon_sha256": "7607271dbbd6189e561f804f32cf87d79d57e13c051a4cd69ae9c5d2fd00da90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3411",
    "kind": "arxiv",
    "version": 2
  }
}