Pith Number

pith:IW4X7TS7

pith:2011:IW4X7TS7H7YHRYT2TT4DL2MOBS

not attested not anchored not stored refs pending

Coverings and fundamental groups: a new approach

Jerzy Dydak

arxiv:1108.3253 v1 · 2011-08-15 · math.GN · 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{IW4X7TS7H7YHRYT2TT4DL2MOBS}

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.

Cited by

1 paper in Pith

On R-trees, homotopies, and covering maps

Receipt and verification

First computed	2026-05-18T04:15:27.671518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b97fce5f3ff078e27a9cf835e98e0cbc931321d463360c1ef221c786671953

Aliases

arxiv: 1108.3253 · arxiv_version: 1108.3253v1 · doi: 10.48550/arxiv.1108.3253 · pith_short_12: IW4X7TS7H7YH · pith_short_16: IW4X7TS7H7YHRYT2 · pith_short_8: IW4X7TS7

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/IW4X7TS7H7YHRYT2TT4DL2MOBS \
  | 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: 45b97fce5f3ff078e27a9cf835e98e0cbc931321d463360c1ef221c786671953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945fd661e6a44bfbaea33c4eef1ef247ea68a527dc5df42d0ca28397e34e7ec2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-08-15T18:35:40Z",
    "title_canon_sha256": "c4247df73ac54a882e4ed6df5cfe5e53e94b90485e6e0296edfba560b820e016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3253",
    "kind": "arxiv",
    "version": 1
  }
}