Pith Number

pith:BEO4AMLS

pith:2017:BEO4AMLSJ5OCOA26FXIQMTLBPV

not attested not anchored not stored refs pending

Further remarks on liftings of crossed modules

Tun\c{c}ar \c{S}ahan

arxiv:1704.07257 v1 · 2017-04-24 · 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{BEO4AMLSJ5OCOA26FXIQMTLBPV}

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	2026-05-18T00:20:27.535157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091dc031724f5c27035e2dd1064d617d42ba623472a0214ab98df4f165e959a0

Aliases

arxiv: 1704.07257 · arxiv_version: 1704.07257v1 · doi: 10.48550/arxiv.1704.07257 · pith_short_12: BEO4AMLSJ5OC · pith_short_16: BEO4AMLSJ5OCOA26 · pith_short_8: BEO4AMLS

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/BEO4AMLSJ5OCOA26FXIQMTLBPV \
  | 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: 091dc031724f5c27035e2dd1064d617d42ba623472a0214ab98df4f165e959a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1555e2b4375a9332917babd32ea066f7b3c563f8c89255ae196a20ea3b0ebcf1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-04-24T14:39:07Z",
    "title_canon_sha256": "3404332046f8abbe4036086894531226f3f7da3b76db61428d978ddfc6cb133a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07257",
    "kind": "arxiv",
    "version": 1
  }
}