Pith Number

pith:MGYEW5Y7

pith:2016:MGYEW5Y7OHBMLVN45VZDKQYQWA

not attested not anchored not stored refs pending

Biset functors as module Mackey functors, and its relation to derivators

Hiroyuki Nakaoka

arxiv:1601.06193 v1 · 2016-01-22 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGYEW5Y7OHBMLVN45VZDKQYQWA}

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	2026-05-18T01:22:05.154185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b04b771f71c2c5d5bced72354310b0119d9258f5c39d85293e7e2fde13005c

Aliases

arxiv: 1601.06193 · arxiv_version: 1601.06193v1 · doi: 10.48550/arxiv.1601.06193 · pith_short_12: MGYEW5Y7OHBM · pith_short_16: MGYEW5Y7OHBMLVN4 · pith_short_8: MGYEW5Y7

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/MGYEW5Y7OHBMLVN45VZDKQYQWA \
  | 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: 61b04b771f71c2c5d5bced72354310b0119d9258f5c39d85293e7e2fde13005c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee26dbd4669c0eb8f53acf8699faeb07deef6f3d90309644dfcbc7617623d5d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-01-22T22:17:09Z",
    "title_canon_sha256": "55c4824f8c7fa1d46939cfcd7aa8c0ace014f2b58c455fc8d19cb0d764e5dd0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06193",
    "kind": "arxiv",
    "version": 1
  }
}