Pith Number

pith:FTUOLWLP

pith:2011:FTUOLWLPG73F47A2LJTW6UY6LM

not attested not anchored not stored refs pending

On reflective-coreflective equivalence and associated pairs

Erik B\'edos, John Quigg, S. Kaliszewski

arxiv:1111.6556 v3 · 2011-11-28 · math.OA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTUOLWLPG73F47A2LJTW6UY6LM}

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	2026-05-18T04:05:58.846737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce8e5d96f37f65e7c1a5a676f531e5b2ec68a0c4ef4f56c95dda8b025c048ef

Aliases

arxiv: 1111.6556 · arxiv_version: 1111.6556v3 · doi: 10.48550/arxiv.1111.6556 · pith_short_12: FTUOLWLPG73F · pith_short_16: FTUOLWLPG73F47A2 · pith_short_8: FTUOLWLP

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/FTUOLWLPG73F47A2LJTW6UY6LM \
  | 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: 2ce8e5d96f37f65e7c1a5a676f531e5b2ec68a0c4ef4f56c95dda8b025c048ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c183fa4ef5a5fdc94df4a68db2459d5d3e708a024dfac9b0171fdef04c35de",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-28T19:23:15Z",
    "title_canon_sha256": "8c3fa15f8464ecc71745b215fda0d02678a94a714fe6c93b264efad4e9acc018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6556",
    "kind": "arxiv",
    "version": 3
  }
}