Pith Number

pith:MAJN2EP7

pith:2011:MAJN2EP7BZB4QSPML7XC2YJIZI

not attested not anchored not stored refs pending

Bordisms of manifolds with proper action of a discrete group: signatures and descriptions of $G$-bundles

A.S. Mishchenko, Quitzeh Morales Mel\'endez

arxiv:1112.2104 v1 · 2011-12-09 · 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{MAJN2EP7BZB4QSPML7XC2YJIZI}

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	2026-05-18T04:06:44.092900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6012dd11ff0e43c849ec5fee2d6128ca1e484acb65927a383b5ac934f47777cd

Aliases

arxiv: 1112.2104 · arxiv_version: 1112.2104v1 · doi: 10.48550/arxiv.1112.2104 · pith_short_12: MAJN2EP7BZB4 · pith_short_16: MAJN2EP7BZB4QSPM · pith_short_8: MAJN2EP7

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/MAJN2EP7BZB4QSPML7XC2YJIZI \
  | 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: 6012dd11ff0e43c849ec5fee2d6128ca1e484acb65927a383b5ac934f47777cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95402410db94b23dd3ec04890c935f96c396bb7612a1a95bd433288c1135f18c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-12-09T13:59:51Z",
    "title_canon_sha256": "3947d4406f971f0ae4edc180ee43f814cd447c577e3534ceecdbf46321e3e450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2104",
    "kind": "arxiv",
    "version": 1
  }
}