Pith Number

pith:2N6EU3EV

pith:2011:2N6EU3EVMAS6UDODGYCMXB3W5U

not attested not anchored not stored refs pending

The ternary commutator obstruction for internal crossed modules

Manfred Hartl, Tim Van der Linden

arxiv:1107.0954 v2 · 2011-07-05 · 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{2N6EU3EVMAS6UDODGYCMXB3W5U}

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.

Cited by

1 paper in Pith

Intrinsic tensor products and a Ganea-type extension of the five-term exact sequence

Receipt and verification

First computed	2026-05-18T03:42:34.101464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d37c4a6c956025ea0dc33604cb8776ed367f26627b9664461cb04f8955fd0edf

Aliases

arxiv: 1107.0954 · arxiv_version: 1107.0954v2 · doi: 10.48550/arxiv.1107.0954 · pith_short_12: 2N6EU3EVMAS6 · pith_short_16: 2N6EU3EVMAS6UDOD · pith_short_8: 2N6EU3EV

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/2N6EU3EVMAS6UDODGYCMXB3W5U \
  | 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: d37c4a6c956025ea0dc33604cb8776ed367f26627b9664461cb04f8955fd0edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2173b61c7a584e112c0333d9e8df6c8500184c359c456df9039a201ad737d7c3",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-07-05T19:23:38Z",
    "title_canon_sha256": "baa872fa2827b64f45b199b299994f25d5e54389896b1fabfcb7bda6964232bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0954",
    "kind": "arxiv",
    "version": 2
  }
}