Pith Number

pith:3H5GURWV

pith:2015:3H5GURWVCII43ZWCQCVRFRYDF4

not attested not anchored not stored refs pending

On a lower bound of the Kobayashi metric

Nikolai Nikolov

arxiv:1512.05524 v1 · 2015-12-17 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3H5GURWVCII43ZWCQCVRFRYDF4}

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	2026-05-18T01:08:43.030510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9fa6a46d51211cde6c280ab12c7032f35aaa2bb9088d38a48e0af70008d3117

Aliases

arxiv: 1512.05524 · arxiv_version: 1512.05524v1 · doi: 10.48550/arxiv.1512.05524 · pith_short_12: 3H5GURWVCII4 · pith_short_16: 3H5GURWVCII43ZWC · pith_short_8: 3H5GURWV

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/3H5GURWVCII43ZWCQCVRFRYDF4 \
  | 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: d9fa6a46d51211cde6c280ab12c7032f35aaa2bb9088d38a48e0af70008d3117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f059898f09ff3d311b6290f794b880d75a2dfc6aec0e5e88e599a78cf58cd3fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-12-17T10:50:47Z",
    "title_canon_sha256": "a2062c5945ae3fd7aa93b848a25454d294aba2a69d571e9f97e4e3f8a5f93bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05524",
    "kind": "arxiv",
    "version": 1
  }
}