Pith Number

pith:LTLJMK7Z

pith:2012:LTLJMK7Z63HHXCD5HNDSNGHEQZ

not attested not anchored not stored refs pending

Higher torsion and secondary transfer of unipotent bundles

Bernard Badzioch, Wojciech Dorabiala

arxiv:1212.6578 v2 · 2012-12-29 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTLJMK7Z63HHXCD5HNDSNGHEQZ}

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	2026-05-18T01:04:14.978984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd6962bf9f6ce7b887d3b472698e4865d5ba88887b1260d5ec373ce39fa17f0

Aliases

arxiv: 1212.6578 · arxiv_version: 1212.6578v2 · doi: 10.48550/arxiv.1212.6578 · pith_short_12: LTLJMK7Z63HH · pith_short_16: LTLJMK7Z63HHXCD5 · pith_short_8: LTLJMK7Z

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/LTLJMK7Z63HHXCD5HNDSNGHEQZ \
  | 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: 5cd6962bf9f6ce7b887d3b472698e4865d5ba88887b1260d5ec373ce39fa17f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255205d19695c2cbef324c4301a70ea6c89fc14d0cec7b8f597983f796ed8234",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-29T00:53:00Z",
    "title_canon_sha256": "84468fc2529bec9382082152ac1604185da134e14f9c2edeabaa58feb6d91319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6578",
    "kind": "arxiv",
    "version": 2
  }
}