Pith Number

pith:ZAS476NO

pith:2016:ZAS476NOV3L2TPCM4C6ENMLCQC

not attested not anchored not stored refs pending

Free Boolean Topological Groups

Ol'ga Sipacheva

arxiv:1612.04878 v1 · 2016-12-14 · 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{ZAS476NOV3L2TPCM4C6ENMLCQC}

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	2026-05-18T00:54:57.483524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c825cff9aeaed7a9bc4ce0bc46b162809b7d2ac88851c40f5d1833b4ccdb814b

Aliases

arxiv: 1612.04878 · arxiv_version: 1612.04878v1 · doi: 10.48550/arxiv.1612.04878 · pith_short_12: ZAS476NOV3L2 · pith_short_16: ZAS476NOV3L2TPCM · pith_short_8: ZAS476NO

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/ZAS476NOV3L2TPCM4C6ENMLCQC \
  | 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: c825cff9aeaed7a9bc4ce0bc46b162809b7d2ac88851c40f5d1833b4ccdb814b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e8e7e08c2a576c936bc8bd7ff31432ee6916810cb87886b265d676f07e0cf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-12-14T23:18:46Z",
    "title_canon_sha256": "d646175afa9c22a018c7fff0527326146e3e3c63c0aadf7bd188ddc3d493956b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04878",
    "kind": "arxiv",
    "version": 1
  }
}