Pith Number

pith:DGSQUZKR

pith:2011:DGSQUZKROUAEKJOP5RAEFWI25E

not attested not anchored not stored refs pending

Mahonian Pairs

Bruce E. Sagan (Department of Mathematics, Carla D. Savage (Department of Computer Science, East Lansing, MI, Michigan State University, NC, North Carolina State University, Raleigh, USA)

arxiv:1101.4332 v2 · 2011-01-22 · 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{DGSQUZKROUAEKJOP5RAEFWI25E}

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	2026-05-18T04:09:45.808752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19a50a655175004525cfec4042d91ae92724a85acac4c9d1505f0e69e91128d3

Aliases

arxiv: 1101.4332 · arxiv_version: 1101.4332v2 · doi: 10.48550/arxiv.1101.4332 · pith_short_12: DGSQUZKROUAE · pith_short_16: DGSQUZKROUAEKJOP · pith_short_8: DGSQUZKR

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/DGSQUZKROUAEKJOP5RAEFWI25E \
  | 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: 19a50a655175004525cfec4042d91ae92724a85acac4c9d1505f0e69e91128d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595520612cd833aa4d7cb0cf5b9b5375e9b6a1717c94bd72b80f955720de882f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-22T23:14:08Z",
    "title_canon_sha256": "4b0248fbb445e887fb04aeeb85cce833547e4eaaa6e621459c3dd029f0132245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4332",
    "kind": "arxiv",
    "version": 2
  }
}