Pith Number

pith:PC6ZATDU

pith:2018:PC6ZATDUY6QZPUQD2LGAXWQKQC

not attested not anchored not stored refs pending

The $-_+$ and $-^+$ constructions for biset functors

Gerardo Raggi-C\'ardenas, Luis Valero-Elizondo, Robert Boltje

arxiv:1806.00721 v1 · 2018-06-03 · 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{PC6ZATDUY6QZPUQD2LGAXWQKQC}

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	2026-05-18T00:14:18.657390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bd904c74c7a197d203d2cc0bda0a80a7a1b0129566f2d786d6317733f45f71

Aliases

arxiv: 1806.00721 · arxiv_version: 1806.00721v1 · doi: 10.48550/arxiv.1806.00721 · pith_short_12: PC6ZATDUY6QZ · pith_short_16: PC6ZATDUY6QZPUQD · pith_short_8: PC6ZATDU

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/PC6ZATDUY6QZPUQD2LGAXWQKQC \
  | 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: 78bd904c74c7a197d203d2cc0bda0a80a7a1b0129566f2d786d6317733f45f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fdb7a9d7047513d75683dac4a7194ee2b4edde5a2ed49f04c3696264b648743",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-06-03T01:23:20Z",
    "title_canon_sha256": "a182afe0eb8a5086b039076a080736266df86fe9fe838960d973398aefafacd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00721",
    "kind": "arxiv",
    "version": 1
  }
}