Pith Number

pith:4GY3DWKZ

pith:2019:4GY3DWKZNTDWGFJTYI6NJKIIWP

not attested not anchored not stored refs pending

Monotonicity of the Schwarz genus

Petar Pave\v{s}i\'c

arxiv:1901.00652 v1 · 2019-01-03 · 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{4GY3DWKZNTDWGFJTYI6NJKIIWP}

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	2026-05-17T23:57:01.778551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b1b1d9596cc7631533c23cd4a908b3c45e1c55284fde31a8bbc1d60f32dcd9

Aliases

arxiv: 1901.00652 · arxiv_version: 1901.00652v1 · doi: 10.48550/arxiv.1901.00652 · pith_short_12: 4GY3DWKZNTDW · pith_short_16: 4GY3DWKZNTDWGFJT · pith_short_8: 4GY3DWKZ

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/4GY3DWKZNTDWGFJTYI6NJKIIWP \
  | 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: e1b1b1d9596cc7631533c23cd4a908b3c45e1c55284fde31a8bbc1d60f32dcd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6475277dfb8cda4b58abec8201e7f2972d35faefcb197d590bf2d2b91f7b4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-01-03T08:32:09Z",
    "title_canon_sha256": "ea00b64aa32e566b32f1a136950441b689180440fa638f53e7b3fccd4d82143b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00652",
    "kind": "arxiv",
    "version": 1
  }
}