Pith Number

pith:MFR5LMMX

pith:2011:MFR5LMMX5ND6ZABDHJEYZCBACR

not attested not anchored not stored refs pending

On the Nagumo uniqueness theorem

Donal O'Regan, Octavian G. Mustafa

arxiv:1105.2156 v1 · 2011-05-11 · math.CA · 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{MFR5LMMX5ND6ZABDHJEYZCBACR}

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	2026-05-18T04:22:21.414884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6163d5b197eb47ec80233a498c882014566480fc2672ce70b1fd71e6d556b32f

Aliases

arxiv: 1105.2156 · arxiv_version: 1105.2156v1 · doi: 10.48550/arxiv.1105.2156 · pith_short_12: MFR5LMMX5ND6 · pith_short_16: MFR5LMMX5ND6ZABD · pith_short_8: MFR5LMMX

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/MFR5LMMX5ND6ZABDHJEYZCBACR \
  | 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: 6163d5b197eb47ec80233a498c882014566480fc2672ce70b1fd71e6d556b32f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb06276501069c6b4b70ec289f1d63cc472eaf99ab0bb7c4bb4d97041480f448",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-11T11:31:24Z",
    "title_canon_sha256": "d2d8dcb4df2ca8e9ade358c07f035af76e1aa9b6694ec33d380115021ec87aef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2156",
    "kind": "arxiv",
    "version": 1
  }
}