Pith Number

pith:RNF2YDKJ

pith:2016:RNF2YDKJE7Y3N64Q3M7LBDJS4X

not attested not anchored not stored refs pending

Group-groupoid actions and liftings of crossed modules

Osman Mucuk, Tun\c{c}ar \c{S}ahan

arxiv:1601.07096 v1 · 2016-01-26 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNF2YDKJE7Y3N64Q3M7LBDJS4X}

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	2026-05-18T00:08:01.048742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b4bac0d4927f1b6fb90db3eb08d32e5dbb8b34ba750947172357c385648fc0a

Aliases

arxiv: 1601.07096 · arxiv_version: 1601.07096v1 · doi: 10.48550/arxiv.1601.07096 · pith_short_12: RNF2YDKJE7Y3 · pith_short_16: RNF2YDKJE7Y3N64Q · pith_short_8: RNF2YDKJ

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/RNF2YDKJE7Y3N64Q3M7LBDJS4X \
  | 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: 8b4bac0d4927f1b6fb90db3eb08d32e5dbb8b34ba750947172357c385648fc0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a544b1b6deaad08ae4909bd2f05fb5148ab8d4b379b2173a22460c4c7f4bab1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-01-26T17:01:34Z",
    "title_canon_sha256": "803d2999bf3b68396452f88b29da478783f7b846d6b7f6f6fe6ef13e5d5dad7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07096",
    "kind": "arxiv",
    "version": 1
  }
}