Pith Number

pith:NDMRCBCE

pith:2011:NDMRCBCEABWN2AKIQHF3N6ZBG5

not attested not anchored not stored refs pending

Marked metric measure spaces

Andreas Greven, Andrej Depperschmidt, Peter Pfaffelhuber

arxiv:1101.4213 v1 · 2011-01-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDMRCBCEABWN2AKIQHF3N6ZBG5}

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	2026-05-18T04:31:12.535250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d9110444006cdd014881cbb6fb21377f0ff7b75040d1d223a3b36714b9ad21

Aliases

arxiv: 1101.4213 · arxiv_version: 1101.4213v1 · doi: 10.48550/arxiv.1101.4213 · pith_short_12: NDMRCBCEABWN · pith_short_16: NDMRCBCEABWN2AKI · pith_short_8: NDMRCBCE

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/NDMRCBCEABWN2AKIQHF3N6ZBG5 \
  | 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: 68d9110444006cdd014881cbb6fb21377f0ff7b75040d1d223a3b36714b9ad21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2a53500829aa0ed28467dc809bb2e5d1af7ceb61ea8fade2ed6c7590c908161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-21T19:48:23Z",
    "title_canon_sha256": "3fe5a48ed0c0d3660a800a1929d7c30fcfb3041d2e409453924002cc6176a212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4213",
    "kind": "arxiv",
    "version": 1
  }
}