Pith Number

pith:SHCIGVHY

pith:2016:SHCIGVHYUCIF7CFAIKRE5NAZEG

not attested not anchored not stored refs pending

Cancellation for 4-manifolds with virtually abelian fundamental group

Qayum Khan

arxiv:1606.05968 v1 · 2016-06-20 · math.GT · 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{SHCIGVHYUCIF7CFAIKRE5NAZEG}

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	2026-05-18T00:51:17.154729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c48354f8a0905f88a042a24eb41921be107ee798f67e419bcf9009f43bb449

Aliases

arxiv: 1606.05968 · arxiv_version: 1606.05968v1 · doi: 10.48550/arxiv.1606.05968 · pith_short_12: SHCIGVHYUCIF · pith_short_16: SHCIGVHYUCIF7CFA · pith_short_8: SHCIGVHY

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/SHCIGVHYUCIF7CFAIKRE5NAZEG \
  | 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: 91c48354f8a0905f88a042a24eb41921be107ee798f67e419bcf9009f43bb449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3a689c3bbf9f439a83f18ce7162bb89550a03cd1679f4c7244e8357e370206",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-20T04:22:11Z",
    "title_canon_sha256": "9469a86a3ae9a5a5b43172bf1ddaf23251a095612ff43fd78d51d6a6f8f9a502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05968",
    "kind": "arxiv",
    "version": 1
  }
}