Pith Number

pith:VTJXZDXE

pith:2012:VTJXZDXEMAY765FGKZ2NX376WW

not attested not anchored not stored refs pending

Automorphisms of circulants that respect partitions

Joy Morris

arxiv:1205.0503 v2 · 2012-05-02 · 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{VTJXZDXEMAY765FGKZ2NX376WW}

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	2026-05-18T02:59:18.844382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd37c8ee46031ff74a65674dbeffeb581c4d19047011598b1e3ec5e01ef3d6e

Aliases

arxiv: 1205.0503 · arxiv_version: 1205.0503v2 · doi: 10.48550/arxiv.1205.0503 · pith_short_12: VTJXZDXEMAY7 · pith_short_16: VTJXZDXEMAY765FG · pith_short_8: VTJXZDXE

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/VTJXZDXEMAY765FGKZ2NX376WW \
  | 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: acd37c8ee46031ff74a65674dbeffeb581c4d19047011598b1e3ec5e01ef3d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58aa94d00827039b20fdc98eead9c27d842bea119e009c328037e5e06ca0732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-02T17:48:07Z",
    "title_canon_sha256": "1832ccfafb03b8990a98bb1b902fe35615482bc170ce3498e19a9c0b3a3a0662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0503",
    "kind": "arxiv",
    "version": 2
  }
}