Pith Number

pith:IMGCANNQ

pith:2011:IMGCANNQYRUZZX3TNLTABRNI4H

not attested not anchored not stored refs pending

Galkin Quandles, Pointed Abelian Groups, and Sequence $A000712$

W. Edwin Clark, Xiang-dong Hou

arxiv:1108.2215 v1 · 2011-08-10 · math.CO · 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{IMGCANNQYRUZZX3TNLTABRNI4H}

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	2026-05-18T04:15:49.058447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430c2035b0c4699cdf736ae600c5a8e1d48e7fa9618ec8b30dae5cc89a1ed1b8

Aliases

arxiv: 1108.2215 · arxiv_version: 1108.2215v1 · doi: 10.48550/arxiv.1108.2215 · pith_short_12: IMGCANNQYRUZ · pith_short_16: IMGCANNQYRUZZX3T · pith_short_8: IMGCANNQ

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/IMGCANNQYRUZZX3TNLTABRNI4H \
  | 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: 430c2035b0c4699cdf736ae600c5a8e1d48e7fa9618ec8b30dae5cc89a1ed1b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e672f2eebe782df2f6425bb12a9f147eb41075b7fb30ea285afdcba9f56f95f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-10T16:18:55Z",
    "title_canon_sha256": "cb73edc609dd4745e9d6d16f2ed06fbdb514043f3829e9d1cbf42cdd7e1d9fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2215",
    "kind": "arxiv",
    "version": 1
  }
}