Pith Number

pith:XBMMGOQN

pith:2011:XBMMGOQNYOKYL2CYPXML6GYQCA

not attested not anchored not stored refs pending

The Theory of the Interleaving Distance on Multidimensional Persistence Modules

Michael Lesnick

arxiv:1106.5305 v4 · 2011-06-27 · cs.CG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBMMGOQNYOKYL2CYPXML6GYQCA}

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	2026-05-18T02:03:56.015997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b858c33a0dc39585e8587dd8bf1b101016a71fa980d62eecfb7e8c048d85b59f

Aliases

arxiv: 1106.5305 · arxiv_version: 1106.5305v4 · doi: 10.48550/arxiv.1106.5305 · pith_short_12: XBMMGOQNYOKY · pith_short_16: XBMMGOQNYOKYL2CY · pith_short_8: XBMMGOQN

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/XBMMGOQNYOKYL2CYPXML6GYQCA \
  | 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: b858c33a0dc39585e8587dd8bf1b101016a71fa980d62eecfb7e8c048d85b59f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48862a9f5b7f933914d4dca33659f42cc10bce7c5894647dcb9e1a5758586c85",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2011-06-27T06:05:20Z",
    "title_canon_sha256": "f018920cec1ff39279adcf7db9e6654e9f942bc7c01369a37207f577fe41c5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5305",
    "kind": "arxiv",
    "version": 4
  }
}