Pith Number

pith:5LBEZRVH

pith:2010:5LBEZRVHGFQKXVIRTRW5FXBF65

not attested not anchored not stored refs pending

Infinite combinatorial issues raised by lifting problems in universal algebra

Friedrich Wehrung (LMNO)

arxiv:1009.0949 v2 · 2010-08-16 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LBEZRVHGFQKXVIRTRW5FXBF65}

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	2026-05-18T04:27:56.684357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac24cc6a73160abd5119c6dd2dc25f779bc0a2c1008f3a6eb177d4a6b409b9c

Aliases

arxiv: 1009.0949 · arxiv_version: 1009.0949v2 · doi: 10.48550/arxiv.1009.0949 · pith_short_12: 5LBEZRVHGFQK · pith_short_16: 5LBEZRVHGFQKXVIR · pith_short_8: 5LBEZRVH

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/5LBEZRVHGFQKXVIRTRW5FXBF65 \
  | 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: eac24cc6a73160abd5119c6dd2dc25f779bc0a2c1008f3a6eb177d4a6b409b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e5589ca08c38de73acd0ae0791365ee3a6f86f84793f1e0fade07f1b1728374",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-08-16T14:36:43Z",
    "title_canon_sha256": "0fee4a0e6f533cc7b941c0cf58caee31aaf3ac9df75d1819f2f1288b4f4da173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0949",
    "kind": "arxiv",
    "version": 2
  }
}