Pith Number

pith:5MSLU5EF

pith:2012:5MSLU5EFLUXBP67HNUUYQ7ZOHE

not attested not anchored not stored refs pending

Asymptotically Scattered Spaces

Igor Protasov

arxiv:1212.0364 v1 · 2012-12-03 · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MSLU5EFLUXBP67HNUUYQ7ZOHE}

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	2026-05-18T03:39:17.748084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb24ba74855d2e17fbe76d29887f2e3918326f9391f5e58eac855fa3dbae542b

Aliases

arxiv: 1212.0364 · arxiv_version: 1212.0364v1 · doi: 10.48550/arxiv.1212.0364 · pith_short_12: 5MSLU5EFLUXB · pith_short_16: 5MSLU5EFLUXBP67H · pith_short_8: 5MSLU5EF

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/5MSLU5EFLUXBP67HNUUYQ7ZOHE \
  | 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: eb24ba74855d2e17fbe76d29887f2e3918326f9391f5e58eac855fa3dbae542b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cee56e5caa8b570006c1a20a604043b14bffc3dddede59da845d655972d6ac97",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-03T12:35:32Z",
    "title_canon_sha256": "95b55c3787db5fe38cdff3ed1014052c3aee0314b528a127b312f2eb1500111a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0364",
    "kind": "arxiv",
    "version": 1
  }
}