Pith Number

pith:NSBSMABY

pith:2017:NSBSMABY5DU6C2SAHRA2WL3MGS

not attested not anchored not stored refs pending

Uniform cohomological expansion of uniformly quasiregular mappings

Ilmari Kangasniemi, Pekka Pankka

arxiv:1708.01451 v3 · 2017-08-04 · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSBSMABY5DU6C2SAHRA2WL3MGS}

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	2026-05-17T23:43:28.663722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c83260038e8e9e16a403c41ab2f6c348752903f0e3ad9cc6f5f57ca72264f0d

Aliases

arxiv: 1708.01451 · arxiv_version: 1708.01451v3 · doi: 10.48550/arxiv.1708.01451 · pith_short_12: NSBSMABY5DU6 · pith_short_16: NSBSMABY5DU6C2SA · pith_short_8: NSBSMABY

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/NSBSMABY5DU6C2SAHRA2WL3MGS \
  | 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: 6c83260038e8e9e16a403c41ab2f6c348752903f0e3ad9cc6f5f57ca72264f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae173b4309b289a077a3342085789e347d2d5dbc006c3ca07051e8ce989765e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-08-04T11:12:57Z",
    "title_canon_sha256": "a82b3f7e0c740ba8e5ffd39c08f14ad6488040deafc3e62817955cde16c2114c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01451",
    "kind": "arxiv",
    "version": 3
  }
}