Pith Number

pith:VTDFP3VB

pith:2011:VTDFP3VBNS3P2BMXDJQCCZF4ZG

not attested not anchored not stored refs pending

Nevanlinna's Theorems

Bulat N. Khabibullin

arxiv:1104.5032 v1 · 2011-04-26 · 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{VTDFP3VBNS3P2BMXDJQCCZF4ZG}

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	2026-05-18T04:23:32.365342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc657eea16cb6fd05971a602164bcc993338b0a784d681e0d1d5d4fd0b673d4

Aliases

arxiv: 1104.5032 · arxiv_version: 1104.5032v1 · doi: 10.48550/arxiv.1104.5032 · pith_short_12: VTDFP3VBNS3P · pith_short_16: VTDFP3VBNS3P2BMX · pith_short_8: VTDFP3VB

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/VTDFP3VBNS3P2BMXDJQCCZF4ZG \
  | 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: acc657eea16cb6fd05971a602164bcc993338b0a784d681e0d1d5d4fd0b673d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7dea45ed7e53904249002ef9c41e3375dffa3d500296fffc6697027aff1fb11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-26T21:01:02Z",
    "title_canon_sha256": "78c8cf1bca47aaefc5f558e99bcdfa24aa014be0f1082eba90f42c8e7a1f2e05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5032",
    "kind": "arxiv",
    "version": 1
  }
}