Pith Number

pith:MPWTKNCN

pith:2010:MPWTKNCNU4LU4MMKBER4VFGTQR

not attested not anchored not stored refs pending

Very I-favorable spaces

A. Kucharski, Sz. Plewik, V. Valov

arxiv:1011.3586 v1 · 2010-11-16 · 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{MPWTKNCNU4LU4MMKBER4VFGTQR}

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	2026-05-18T04:35:48.518511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ed35344da7174e318a0923ca94d384725b9b94d5628ccfb168ddc042a249bf

Aliases

arxiv: 1011.3586 · arxiv_version: 1011.3586v1 · doi: 10.48550/arxiv.1011.3586 · pith_short_12: MPWTKNCNU4LU · pith_short_16: MPWTKNCNU4LU4MMK · pith_short_8: MPWTKNCN

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/MPWTKNCNU4LU4MMKBER4VFGTQR \
  | 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: 63ed35344da7174e318a0923ca94d384725b9b94d5628ccfb168ddc042a249bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a2f42ec4377bc4304ca293e4326d7fb1eb77db95baf75e1af95e137b559dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-11-16T05:56:56Z",
    "title_canon_sha256": "c57951d1123c9b15b9e784760eb2925d9f9333de5516e846330463eb589ea431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3586",
    "kind": "arxiv",
    "version": 1
  }
}