Pith Number

pith:DMBAZ32U

pith:2013:DMBAZ32UNZDR4PYS3DRNRTPD4K

not attested not anchored not stored refs pending

Congruence successions in compositions

Mark C. Wilson, Mark Shattuck, Toufik Mansour

arxiv:1307.7390 v1 · 2013-07-28 · 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{DMBAZ32UNZDR4PYS3DRNRTPD4K}

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	2026-05-18T03:17:23.424172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b020cef546e471e3f12d8e2d8cde3e292d9ec5e5ce0365952ed1a83bc9f1fd3

Aliases

arxiv: 1307.7390 · arxiv_version: 1307.7390v1 · doi: 10.48550/arxiv.1307.7390 · pith_short_12: DMBAZ32UNZDR · pith_short_16: DMBAZ32UNZDR4PYS · pith_short_8: DMBAZ32U

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/DMBAZ32UNZDR4PYS3DRNRTPD4K \
  | 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: 1b020cef546e471e3f12d8e2d8cde3e292d9ec5e5ce0365952ed1a83bc9f1fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e299b8fc061326d4c7217f578e9586184832ebd3ed826058d4485957eab18e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-28T18:13:04Z",
    "title_canon_sha256": "5a35071257114d11e45a09a09ef95215a17f806b66d28e9737337f7fa00fbe6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7390",
    "kind": "arxiv",
    "version": 1
  }
}