Pith Number

pith:UGFHRQN3

pith:2015:UGFHRQN365L6USP27BC7GVD23S

not attested not anchored not stored refs pending

On geometrically transitive Hopf algebroids

Laiachi El Kaoutit

arxiv:1508.05761 v3 · 2015-08-24 · math.AC · math.AG · 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{UGFHRQN365L6USP27BC7GVD23S}

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	2026-05-18T00:27:03.140074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18a78c1bbf757ea49faf845f3547adc88539d654652998fcba0fe11c91efe29

Aliases

arxiv: 1508.05761 · arxiv_version: 1508.05761v3 · doi: 10.48550/arxiv.1508.05761 · pith_short_12: UGFHRQN365L6 · pith_short_16: UGFHRQN365L6USP2 · pith_short_8: UGFHRQN3

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/UGFHRQN365L6USP27BC7GVD23S \
  | 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: a18a78c1bbf757ea49faf845f3547adc88539d654652998fcba0fe11c91efe29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34e7e23342b271dd594ab0571fe06ac600f997f231be262709945ab24f6eaa0",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-08-24T11:25:39Z",
    "title_canon_sha256": "c60c884521e43fe1f47720d946bf205b36c171733b7f26ebfaf3d681a94c4ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05761",
    "kind": "arxiv",
    "version": 3
  }
}