Pith Number

pith:PMWSANT3

pith:2015:PMWSANT37AWZX7YPICXQMYB2HM

not attested not anchored not stored refs pending

An introduction to loopoids

Janusz Grabowski

arxiv:1510.03395 v1 · 2015-10-12 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMWSANT37AWZX7YPICXQMYB2HM}

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	2026-05-18T00:52:53.015791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2d20367bf82d9bff0f40af06603a3b3d34df9c4bf605c268dac773ab254b36

Aliases

arxiv: 1510.03395 · arxiv_version: 1510.03395v1 · doi: 10.48550/arxiv.1510.03395 · pith_short_12: PMWSANT37AWZ · pith_short_16: PMWSANT37AWZX7YP · pith_short_8: PMWSANT3

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/PMWSANT37AWZX7YPICXQMYB2HM \
  | 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: 7b2d20367bf82d9bff0f40af06603a3b3d34df9c4bf605c268dac773ab254b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c281f95ac4a716dc876e53921086172aac2306a24faa772eab6dc75fbcd4a4bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-12T19:10:18Z",
    "title_canon_sha256": "d37f58aa2bd6c3bff6def9f1b40951cd18d6a0281bbc25ae9542ec4b18a28148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03395",
    "kind": "arxiv",
    "version": 1
  }
}