Pith Number

pith:BLFJW4MQ

pith:2016:BLFJW4MQ44PFK5FM72W64HPNTS

not attested not anchored not stored refs pending

Coverings and crossed modules of topological groups with operations

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

arxiv:1601.07094 v1 · 2016-01-26 · 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{BLFJW4MQ44PFK5FM72W64HPNTS}

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	2026-05-18T01:21:57.480303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aca9b7190e71e5574acfeadee1ded9c89e5442fe74552dad0a9228a83fe63e3

Aliases

arxiv: 1601.07094 · arxiv_version: 1601.07094v1 · doi: 10.48550/arxiv.1601.07094 · pith_short_12: BLFJW4MQ44PF · pith_short_16: BLFJW4MQ44PFK5FM · pith_short_8: BLFJW4MQ

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/BLFJW4MQ44PFK5FM72W64HPNTS \
  | 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: 0aca9b7190e71e5574acfeadee1ded9c89e5442fe74552dad0a9228a83fe63e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "283d5a989b20a5a4c9442f73793b355a6db12743c88e7e6f7386951b7e576350",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-01-26T16:59:57Z",
    "title_canon_sha256": "f6ee06082f40b3b66dd0e99621f3911876981487fa4fcfa8be9420849edef41e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07094",
    "kind": "arxiv",
    "version": 1
  }
}