Pith Number

pith:HROJW7UJ

pith:2016:HROJW7UJ2EW73MHXSW22J6ILBZ

not attested not anchored not stored refs pending

A combinatorial construction of an M_{12}-invariant code

Fernanda Pambianco, Juergen Bierbrauer, Stefano Marcugini

arxiv:1606.04857 v1 · 2016-06-15 · 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{HROJW7UJ2EW73MHXSW22J6ILBZ}

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	2026-05-18T01:12:23.252944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c5c9b7e89d12dfdb0f795b5a4f90b0e4187f220905eaefee7e3bc91425dc565

Aliases

arxiv: 1606.04857 · arxiv_version: 1606.04857v1 · doi: 10.48550/arxiv.1606.04857 · pith_short_12: HROJW7UJ2EW7 · pith_short_16: HROJW7UJ2EW73MHX · pith_short_8: HROJW7UJ

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/HROJW7UJ2EW73MHXSW22J6ILBZ \
  | 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: 3c5c9b7e89d12dfdb0f795b5a4f90b0e4187f220905eaefee7e3bc91425dc565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04ac1b11c8590b44c496080aa837bff891d0963e9f5fe79dceb6727ca963271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-15T16:47:22Z",
    "title_canon_sha256": "99c3986b3f3e84665ce8b193cc9c5c6ab5feccf9b129761ab82c0c7724cf2e50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04857",
    "kind": "arxiv",
    "version": 1
  }
}