Pith Number

pith:55QQ5646

pith:2013:55QQ5646HNX46ADMWVSQJHCZLY

not attested not anchored not stored refs pending

Antipode and Primitive elements in the Hopf Monoid of Super Characters

Duff Baker-Jarvis, Nantel Bergeron, Nathaniel Thiem

arxiv:1302.0865 v2 · 2013-02-04 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55QQ5646HNX46ADMWVSQJHCZLY}

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	2026-05-18T01:00:10.624914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef610efb9e3b6fcf006cb565049c595e21c27e5065b305479b437521cf651683

Aliases

arxiv: 1302.0865 · arxiv_version: 1302.0865v2 · doi: 10.48550/arxiv.1302.0865 · pith_short_12: 55QQ5646HNX4 · pith_short_16: 55QQ5646HNX46ADM · pith_short_8: 55QQ5646

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/55QQ5646HNX46ADMWVSQJHCZLY \
  | 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: ef610efb9e3b6fcf006cb565049c595e21c27e5065b305479b437521cf651683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000d83fdd14a7e98bc66ca3c3b1ba68ceb87afe84af7401413c7e04cc089e33d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-04T21:11:44Z",
    "title_canon_sha256": "3c21bda5ee3f186305fb1a0b84ac7a99228a94ad5081101ea27becdae2554265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0865",
    "kind": "arxiv",
    "version": 2
  }
}