Pith Number

pith:MXJGSK6L

pith:2014:MXJGSK6LDAVGXTPETJFQL7YMYN

not attested not anchored not stored refs pending

Tractor calculus, BGG complexes, and the cohomology of Kleinian groups

A.Rod Gover, Callum Sleigh

arxiv:1412.0792 v1 · 2014-12-02 · math.DG · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXJGSK6LDAVGXTPETJFQL7YMYN}

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	2026-05-18T02:32:21.196463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d2692bcb182a6bcde49a4b05ff0cc3531ded834211f2bf22148920a1eda821

Aliases

arxiv: 1412.0792 · arxiv_version: 1412.0792v1 · doi: 10.48550/arxiv.1412.0792 · pith_short_12: MXJGSK6LDAVG · pith_short_16: MXJGSK6LDAVGXTPE · pith_short_8: MXJGSK6L

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/MXJGSK6LDAVGXTPETJFQL7YMYN \
  | 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: 65d2692bcb182a6bcde49a4b05ff0cc3531ded834211f2bf22148920a1eda821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2e4f01da3070a7a6630cf0dff2a3f506c33f95a931b191b0c104f10140a50d8",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-02T06:29:34Z",
    "title_canon_sha256": "005f174fe124807601491e43e72ae9a213596bc79bd728e1763a356c1d947a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0792",
    "kind": "arxiv",
    "version": 1
  }
}