Pith Number

pith:PMMTDBT5

pith:2015:PMMTDBT5WQOFDSSGM6GZYB54VA

not attested not anchored not stored refs pending

Tiling Spaces have aspherical shape

Scott Schmieding

arxiv:1511.06154 v2 · 2015-11-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMMTDBT5WQOFDSSGM6GZYB54VA}

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	2026-05-18T01:24:06.347541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1931867db41c51ca46678d9c07bca82ebbe294403b87c4fc38ede21815a7a5

Aliases

arxiv: 1511.06154 · arxiv_version: 1511.06154v2 · doi: 10.48550/arxiv.1511.06154 · pith_short_12: PMMTDBT5WQOF · pith_short_16: PMMTDBT5WQOFDSSG · pith_short_8: PMMTDBT5

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/PMMTDBT5WQOFDSSGM6GZYB54VA \
  | 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: 7b1931867db41c51ca46678d9c07bca82ebbe294403b87c4fc38ede21815a7a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da44874b3822926619b18660d48187dd1deda89be207d8723bc44b2c541eb04b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-19T13:11:35Z",
    "title_canon_sha256": "ffe1d9ba9b56bd5d6c1cc2e9a2161a869043783176c88b2e4962a2ff033213ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06154",
    "kind": "arxiv",
    "version": 2
  }
}