Pith Number

pith:IVANLFLD

pith:2013:IVANLFLDLEWYXTWVO6CO2RUA7M

not attested not anchored not stored refs pending

On macroscopic dimension of universal coverings of closed manifolds

Alexander Dranishnikov

arxiv:1307.1029 v1 · 2013-07-03 · math.GT · 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{IVANLFLDLEWYXTWVO6CO2RUA7M}

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	2026-05-18T03:19:23.125805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4540d59563592d8bced57784ed4680fb1c4cc2c6f9cebfbe09353f3205f13f63

Aliases

arxiv: 1307.1029 · arxiv_version: 1307.1029v1 · doi: 10.48550/arxiv.1307.1029 · pith_short_12: IVANLFLDLEWY · pith_short_16: IVANLFLDLEWYXTWV · pith_short_8: IVANLFLD

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/IVANLFLDLEWYXTWVO6CO2RUA7M \
  | 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: 4540d59563592d8bced57784ed4680fb1c4cc2c6f9cebfbe09353f3205f13f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e67199421deda3146ec3d5ee290550f88438cd47d002741841d130d340c9185c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-03T14:42:08Z",
    "title_canon_sha256": "10e8bc732c278f2021513de30b252bd7e67cac0c8800d5f370e7fefd29e75aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1029",
    "kind": "arxiv",
    "version": 1
  }
}