Pith Number

pith:BBHWFLNU

pith:2015:BBHWFLNU77MKEACT6JGT26AGFD

not attested not anchored not stored refs pending

Factor Congruence Lifting Property

Claudia Mure\c{s}an, George Georgescu

arxiv:1511.01031 v1 · 2015-11-03 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBHWFLNU77MKEACT6JGT26AGFD}

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	2026-05-18T01:27:55.401400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

084f62adb4ffd8a20053f24d3d780628d3f327aa7c07f412044547e0dc008341

Aliases

arxiv: 1511.01031 · arxiv_version: 1511.01031v1 · doi: 10.48550/arxiv.1511.01031 · pith_short_12: BBHWFLNU77MK · pith_short_16: BBHWFLNU77MKEACT · pith_short_8: BBHWFLNU

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/BBHWFLNU77MKEACT6JGT26AGFD \
  | 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: 084f62adb4ffd8a20053f24d3d780628d3f327aa7c07f412044547e0dc008341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c38ee088e4d8b0c9e713d84d66b14ba652c5ad3207baa657ee2cf762f33050f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-11-03T18:54:31Z",
    "title_canon_sha256": "0deb073403fb4a70d4dadfb862ab7101225667703b4bf68b23c6ef62007a34d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01031",
    "kind": "arxiv",
    "version": 1
  }
}