Pith Number

pith:7V7BEPUJ

pith:2014:7V7BEPUJVSDVGWYCS2NM6ZEKTP

not attested not anchored not stored refs pending

$K(\pi, 1)$-neighborhoods and comparison theorems

Piotr Achinger

arxiv:1407.0337 v1 · 2014-07-01 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7V7BEPUJVSDVGWYCS2NM6ZEKTP}

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	2026-05-18T01:29:05.606974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd7e123e89ac87535b02969acf648a9bea3d80d211dc8a28b9d562409d6894ff

Aliases

arxiv: 1407.0337 · arxiv_version: 1407.0337v1 · doi: 10.48550/arxiv.1407.0337 · pith_short_12: 7V7BEPUJVSDV · pith_short_16: 7V7BEPUJVSDVGWYC · pith_short_8: 7V7BEPUJ

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/7V7BEPUJVSDVGWYCS2NM6ZEKTP \
  | 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: fd7e123e89ac87535b02969acf648a9bea3d80d211dc8a28b9d562409d6894ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f3f195824c634e70a0030cdc0b9cf0ef7417677d82c6f182ce613c554cd001",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-01T18:05:20Z",
    "title_canon_sha256": "c0cbbd4569f4da1b06200ddfd7eaaf5824df96c5d4d2eb8d696a61b19b27b923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0337",
    "kind": "arxiv",
    "version": 1
  }
}