Pith Number

pith:KAHPZTNQ

pith:2015:KAHPZTNQCTCCNHDIEQHKJRRYG3

not attested not anchored not stored refs pending

Character formulas and descents for the hyperoctahedral group

Christos A. Athanasiadis, Ron M. Adin, Sergi Elizalde, Yuval Roichman

arxiv:1504.01283 v3 · 2015-04-06 · 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{KAHPZTNQCTCCNHDIEQHKJRRYG3}

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	2026-05-18T00:52:08.652062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

500efccdb014c4269c68240ea4c63836f42f5e3664913701384687546dba92b0

Aliases

arxiv: 1504.01283 · arxiv_version: 1504.01283v3 · doi: 10.48550/arxiv.1504.01283 · pith_short_12: KAHPZTNQCTCC · pith_short_16: KAHPZTNQCTCCNHDI · pith_short_8: KAHPZTNQ

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/KAHPZTNQCTCCNHDIEQHKJRRYG3 \
  | 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: 500efccdb014c4269c68240ea4c63836f42f5e3664913701384687546dba92b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5afeb135f0eb73ae9ca8bb070efe52c31262d95b7fbb67af7ce720fa883795cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-06T13:28:19Z",
    "title_canon_sha256": "c5008e6a73694e7e6f8baf0838caa7e8c22839ba3cb151937e5775bb3687b930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01283",
    "kind": "arxiv",
    "version": 3
  }
}