Pith Number

pith:TOZ3JZ7K

pith:2019:TOZ3JZ7KROPTOT5OGKFC3KVAWF

not attested not anchored not stored refs pending

Topology of the icosidodecahedral arrangement

Ye Liu

arxiv:1908.01280 v1 · 2019-08-04 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOZ3JZ7KROPTOT5OGKFC3KVAWF}

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	2026-07-04T23:51:28.795055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb3b4e7ea8b9f374fae328a2daaa0b16afdae2f88dbbc767cc02a38277ee3ed

Aliases

arxiv: 1908.01280 · arxiv_version: 1908.01280v1 · doi: 10.48550/arxiv.1908.01280 · pith_short_12: TOZ3JZ7KROPT · pith_short_16: TOZ3JZ7KROPTOT5O · pith_short_8: TOZ3JZ7K

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/TOZ3JZ7KROPTOT5OGKFC3KVAWF \
  | 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: 9bb3b4e7ea8b9f374fae328a2daaa0b16afdae2f88dbbc767cc02a38277ee3ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da19e64fd569e895f683bd78a89ad30bedea2ad53e35bab1e86123ec0062c709",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-04T06:43:21Z",
    "title_canon_sha256": "11a5acdbd4b6126fd89b859dcabfff3f4c52d721b9f8958f2f67d5ff12875ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01280",
    "kind": "arxiv",
    "version": 1
  }
}