Pith Number

pith:2WMZCY4J

pith:2015:2WMZCY4J5OF6H4FAQ4XSJCNFZ4

not attested not anchored not stored refs pending

Abelianized fundamental group of the affine space over a finite field and big Witt vectors in several variables

Henrik Russell

arxiv:1509.01749 v1 · 2015-09-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WMZCY4J5OF6H4FAQ4XSJCNFZ4}

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	2026-05-18T01:33:50.694737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d599916389eb8be3f0a0872f2489a5cf19691729a59e6822e8cec0fed6ffca75

Aliases

arxiv: 1509.01749 · arxiv_version: 1509.01749v1 · doi: 10.48550/arxiv.1509.01749 · pith_short_12: 2WMZCY4J5OF6 · pith_short_16: 2WMZCY4J5OF6H4FA · pith_short_8: 2WMZCY4J

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/2WMZCY4J5OF6H4FAQ4XSJCNFZ4 \
  | 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: d599916389eb8be3f0a0872f2489a5cf19691729a59e6822e8cec0fed6ffca75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "005f404d155dd790b4e2135187ed0ed4dd93ab30d0f9f59a84cd0171b6c70175",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-06T00:23:18Z",
    "title_canon_sha256": "aa8b8d7b09ce04ed4a553129319b6137ecec260e9e8f77d48cb6e248a1b19d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01749",
    "kind": "arxiv",
    "version": 1
  }
}