Pith Number

pith:YRI7DNWY

pith:2012:YRI7DNWYLTHLXMLCSH3NLGUQLR

not attested not anchored not stored refs pending

On dimensions modulo a compact metric ANR and modulo a simplicial complex

Jerzy Krzempek

arxiv:1203.4581 v1 · 2012-03-20 · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRI7DNWYLTHLXMLCSH3NLGUQLR}

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	2026-05-18T00:49:25.468571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c451f1b6d85ccebbb16291f6d59a905c4a674c27e8be1601b20fb0697017096d

Aliases

arxiv: 1203.4581 · arxiv_version: 1203.4581v1 · doi: 10.48550/arxiv.1203.4581 · pith_short_12: YRI7DNWYLTHL · pith_short_16: YRI7DNWYLTHLXMLC · pith_short_8: YRI7DNWY

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/YRI7DNWYLTHLXMLCSH3NLGUQLR \
  | 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: c451f1b6d85ccebbb16291f6d59a905c4a674c27e8be1601b20fb0697017096d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20a7c01ff0d2e351ef79c907b4c44ec2fc7d7a646385e3259575d50426b200e6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-03-20T20:57:43Z",
    "title_canon_sha256": "718904534de344325161293d093a4a63c7c8849fd00817cd01a21cfbdf1ccbea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4581",
    "kind": "arxiv",
    "version": 1
  }
}