Pith Number

pith:DCBLKBFD

pith:2016:DCBLKBFDZJ2OOZHWE6T7FKDUZC

not attested not anchored not stored refs pending

On the Circle Covering Theorem by A. W. Goodman and R. E. Goodman

Alexey Balitskiy, Arseniy Akopyan, Mikhail Grigorev

arxiv:1605.04300 v2 · 2016-05-13 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCBLKBFDZJ2OOZHWE6T7FKDUZC}

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	2026-05-18T00:50:40.223392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1882b504a3ca74e764f627a7f2a874c89c3602dd85426a778f90108a9cd444b2

Aliases

arxiv: 1605.04300 · arxiv_version: 1605.04300v2 · doi: 10.48550/arxiv.1605.04300 · pith_short_12: DCBLKBFDZJ2O · pith_short_16: DCBLKBFDZJ2OOZHW · pith_short_8: DCBLKBFD

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/DCBLKBFDZJ2OOZHWE6T7FKDUZC \
  | 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: 1882b504a3ca74e764f627a7f2a874c89c3602dd85426a778f90108a9cd444b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5510efa1d4a61700b45efd1da43821727ac7adbfcca22f57d7cce6c8a2ad7921",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-05-13T19:46:25Z",
    "title_canon_sha256": "a91003a7f1888f61fb2ffb2db1639d538fca93391f9e2ecb0d6127b24d22e17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04300",
    "kind": "arxiv",
    "version": 2
  }
}