Pith Number

pith:ON52PDDF

pith:2025:ON52PDDFG52XFZM72KJIAMAL6R

not attested not anchored not stored refs pending

Torus covers with controlled volume and diameter

Sergio Zamora

arxiv:2506.00763 v2 · 2025-06-01 · math.DG · 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{ON52PDDFG52XFZM72KJIAMAL6R}

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	2026-07-05T11:51:27.897656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

737ba78c65377572e59fd29280300bf4426d04c2a34757e4eeb40fef76d25f25

Aliases

arxiv: 2506.00763 · arxiv_version: 2506.00763v2 · doi: 10.48550/arxiv.2506.00763 · pith_short_12: ON52PDDFG52X · pith_short_16: ON52PDDFG52XFZM7 · pith_short_8: ON52PDDF

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/ON52PDDFG52XFZM72KJIAMAL6R \
  | 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: 737ba78c65377572e59fd29280300bf4426d04c2a34757e4eeb40fef76d25f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59741f901a6696106d3befbb4b9c5b341294baf338a48b81a03599790852d1f0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-01T00:36:31Z",
    "title_canon_sha256": "7947e6173d462a153cc1407bde81b43690911cd0b87bb0cc435372e0560b5106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00763",
    "kind": "arxiv",
    "version": 2
  }
}