Pith Number

pith:BPFJYFBB

pith:2013:BPFJYFBBFYSPCMTCGR7RVKFFSJ

not attested not anchored not stored refs pending

Products and countable dense homogeneity

Andrea Medini

arxiv:1307.0184 v3 · 2013-06-30 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPFJYFBBFYSPCMTCGR7RVKFFSJ}

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	2026-05-18T02:50:03.462584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bca9c14212e24f13262347f1aa8a59241b9aef5a4d5dac6d8aff0d6a8280cb0

Aliases

arxiv: 1307.0184 · arxiv_version: 1307.0184v3 · doi: 10.48550/arxiv.1307.0184 · pith_short_12: BPFJYFBBFYSP · pith_short_16: BPFJYFBBFYSPCMTC · pith_short_8: BPFJYFBB

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/BPFJYFBBFYSPCMTCGR7RVKFFSJ \
  | 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: 0bca9c14212e24f13262347f1aa8a59241b9aef5a4d5dac6d8aff0d6a8280cb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe4d1ca1be159057d1d0fcf20f6175c3edc046280309721d78be2280f93ab17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-06-30T07:31:20Z",
    "title_canon_sha256": "adcb00d0caaafc23b8b92acadf36bda0efb139c7eb4c3fa66c5e42aa8ec50e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0184",
    "kind": "arxiv",
    "version": 3
  }
}