Pith Number

pith:PWUF34PX

pith:2012:PWUF34PXQQTRZXCD7Z6NEHHRY6

not attested not anchored not stored refs pending

The Revised and Uniform Fundamental Groups and Universal Covers of Geodesic Spaces

Jay Wilkins

arxiv:1208.3494 v1 · 2012-08-16 · math.GN · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWUF34PXQQTRZXCD7Z6NEHHRY6}

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	2026-05-18T03:13:23.668762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da85df1f784271cdc43fe7cd21cf1c78f0005fb993203931b7e27b8a3952151

Aliases

arxiv: 1208.3494 · arxiv_version: 1208.3494v1 · doi: 10.48550/arxiv.1208.3494 · pith_short_12: PWUF34PXQQTR · pith_short_16: PWUF34PXQQTRZXCD · pith_short_8: PWUF34PX

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/PWUF34PXQQTRZXCD7Z6NEHHRY6 \
  | 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: 7da85df1f784271cdc43fe7cd21cf1c78f0005fb993203931b7e27b8a3952151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e313505495cee5128d03f12e7c84e63f1cceceffbaf52cb671d18b4072723e03",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-08-16T21:22:07Z",
    "title_canon_sha256": "dc5b27c98063b3570d3463e2e86043fe75c1e7aff5f5d9f6f964ec01594ea24e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3494",
    "kind": "arxiv",
    "version": 1
  }
}