Pith Number

pith:NZLDGKHY

pith:2021:NZLDGKHYETK6QG6MLELY5XIGNF

not attested not anchored not stored refs pending

Lifts, transfers, and degrees of univariate maps

Stephen McKean, Thomas Brazelton

arxiv:2112.04592 v1 · 2021-12-08 · math.AG · 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{NZLDGKHYETK6QG6MLELY5XIGNF}

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	2026-07-05T06:03:52.304482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e563328f824d5e81bcc59178edd06695fe70d7369cfecf8c705e019970c0264

Aliases

arxiv: 2112.04592 · arxiv_version: 2112.04592v1 · doi: 10.48550/arxiv.2112.04592 · pith_short_12: NZLDGKHYETK6 · pith_short_16: NZLDGKHYETK6QG6M · pith_short_8: NZLDGKHY

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/NZLDGKHYETK6QG6MLELY5XIGNF \
  | 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: 6e563328f824d5e81bcc59178edd06695fe70d7369cfecf8c705e019970c0264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6eae7b13e55958ac240461670936efae04adbd152a722960a402ccccf14dc7b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-08T21:08:08Z",
    "title_canon_sha256": "e6e1dc3fe6fab189766033073a3196b14342f7759b8397637d9836a94609fa4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.04592",
    "kind": "arxiv",
    "version": 1
  }
}