Pith Number

pith:COQ3DQTO

pith:2015:COQ3DQTOEYDGP756R5VPQ4Y4VT

not attested not anchored not stored refs pending

$\mathscr{B}$-free sets and dynamics

Aurelia Bartnicka, Joanna Ku{\l}aga-Przymus, Mariusz Lema\'nczyk, Stanis{\l}aw Kasjan

arxiv:1509.08010 v1 · 2015-09-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COQ3DQTOEYDGP756R5VPQ4Y4VT}

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	2026-05-18T01:31:54.942870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13a1b1c26e260667ffbe8f6af8731cacf64e71be13a1b7fe74151a64203b678d

Aliases

arxiv: 1509.08010 · arxiv_version: 1509.08010v1 · doi: 10.48550/arxiv.1509.08010 · pith_short_12: COQ3DQTOEYDG · pith_short_16: COQ3DQTOEYDGP756 · pith_short_8: COQ3DQTO

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/COQ3DQTOEYDGP756R5VPQ4Y4VT \
  | 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: 13a1b1c26e260667ffbe8f6af8731cacf64e71be13a1b7fe74151a64203b678d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8edb817af6ea30b1f3e8d36e68a234f32ef19f9c8d79c142b6e35a43676ecc44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-26T16:50:16Z",
    "title_canon_sha256": "34d5b43a0429df96a06f6186fee51a5301d164149b445c568f12e9b266c40ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08010",
    "kind": "arxiv",
    "version": 1
  }
}