Pith Number

pith:DPP4DBXY

pith:2011:DPP4DBXYHOR2T3XCUXODIFCFEW

not attested not anchored not stored refs pending

Isoperimetric Pentagonal Tilings

Elena Wikner, Frank Morgan, Isamar Rosa Plata, Luis Sordo Vieira, Michael Mara, Miguel A. Fernandez, Niralee Shah, Ping Ngai Chung, Yifei Li

arxiv:1111.6161 v1 · 2011-11-26 · 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{DPP4DBXYHOR2T3XCUXODIFCFEW}

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	2026-05-18T04:07:31.662429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bdfc186f83ba3a9eee2a5dc34144525a81d8e1af5b343f89fbeb2d8e86f7a58

Aliases

arxiv: 1111.6161 · arxiv_version: 1111.6161v1 · doi: 10.48550/arxiv.1111.6161 · pith_short_12: DPP4DBXYHOR2 · pith_short_16: DPP4DBXYHOR2T3XC · pith_short_8: DPP4DBXY

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/DPP4DBXYHOR2T3XCUXODIFCFEW \
  | 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: 1bdfc186f83ba3a9eee2a5dc34144525a81d8e1af5b343f89fbeb2d8e86f7a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc0092481f5765ba05b50f202f46c83aa45b8e1acff70eca414d189cd12e16d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-26T14:22:52Z",
    "title_canon_sha256": "81ba6c495c258562ed43ba5b55e2db973beb965ad588293062267c4238d5f025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6161",
    "kind": "arxiv",
    "version": 1
  }
}