Pith Number

pith:MFQXE6AP

pith:2017:MFQXE6APW3KL6UXTV2EQJQKLG4

not attested not anchored not stored refs pending

Counting coarse subsets of a countable group

Igor Protasov, Ksenia Protasova

arxiv:1706.00276 v1 · 2017-06-01 · 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{MFQXE6APW3KL6UXTV2EQJQKLG4}

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	2026-05-18T00:43:14.504116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

616172780fb6d4bf52f3ae8904c14b3703bce5665939971638d293b0b077c9fe

Aliases

arxiv: 1706.00276 · arxiv_version: 1706.00276v1 · doi: 10.48550/arxiv.1706.00276 · pith_short_12: MFQXE6APW3KL · pith_short_16: MFQXE6APW3KL6UXT · pith_short_8: MFQXE6AP

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/MFQXE6APW3KL6UXTV2EQJQKLG4 \
  | 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: 616172780fb6d4bf52f3ae8904c14b3703bce5665939971638d293b0b077c9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2930d0fed84a1b7025ffdf771d2686ba799a69f7bb927da2db05616a88d1b3c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-06-01T12:46:21Z",
    "title_canon_sha256": "fe9fc804a724c7c8da0d6c24f6b448b9334889bb10c379e74a6f1a90e8403dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00276",
    "kind": "arxiv",
    "version": 1
  }
}