Pith Number

pith:GKPONJIX

pith:2010:GKPONJIXWBO672E5NCXJUNLBOY

not attested not anchored not stored refs pending

A Boolean algebra and a Banach space obtained by push-out iteration

Antonio Avil\'es, Christina Brech

arxiv:1012.5051 v1 · 2010-12-22 · math.LO · math.CT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKPONJIXWBO672E5NCXJUNLBOY}

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	2026-05-18T02:48:55.217702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329ee6a517b05defe89d68ae9a35617631191acbdaad4c6897d3ab4b197b6eea

Aliases

arxiv: 1012.5051 · arxiv_version: 1012.5051v1 · doi: 10.48550/arxiv.1012.5051 · pith_short_12: GKPONJIXWBO6 · pith_short_16: GKPONJIXWBO672E5 · pith_short_8: GKPONJIX

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/GKPONJIXWBO672E5NCXJUNLBOY \
  | 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: 329ee6a517b05defe89d68ae9a35617631191acbdaad4c6897d3ab4b197b6eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f44227f45360eea5138636bec92774822f1e15750741bb8477e41ed723ed4d78",
    "cross_cats_sorted": [
      "math.CT",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-22T17:41:06Z",
    "title_canon_sha256": "9c432866d030f4697fb43930c1c02781f8297cdb2d373566d83824606fbde408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5051",
    "kind": "arxiv",
    "version": 1
  }
}