Pith Number

pith:56RCPJAQ

pith:2016:56RCPJAQKXIBZIWLT2XOXDTUST

not attested not anchored not stored refs pending

On defects of characters and decomposition numbers

Benjamin Sambale, Gabriel Navarro, Gunter Malle

arxiv:1611.01284 v1 · 2016-11-04 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56RCPJAQKXIBZIWLT2XOXDTUST}

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	2026-05-18T00:20:57.014100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa227a41055d01ca2cb9eaeeb8e7494db6022f6fdd2dd9bf7fd800c4496ca57

Aliases

arxiv: 1611.01284 · arxiv_version: 1611.01284v1 · doi: 10.48550/arxiv.1611.01284 · pith_short_12: 56RCPJAQKXIB · pith_short_16: 56RCPJAQKXIBZIWL · pith_short_8: 56RCPJAQ

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/56RCPJAQKXIBZIWLT2XOXDTUST \
  | 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: efa227a41055d01ca2cb9eaeeb8e7494db6022f6fdd2dd9bf7fd800c4496ca57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51b0076a1716e172e3c0d4ef9d0a756e57039997b57ef8b9cc9f4bce6d69f84",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-04T08:10:17Z",
    "title_canon_sha256": "5f950de27565bcb97ff2282bfbe13a72624530ee335d6090bb36a02739918d6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01284",
    "kind": "arxiv",
    "version": 1
  }
}