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Pith Number

pith:GN5XGHAK

pith:2013:GN5XGHAKAV5HCEXUZJVV2YLYS5
not attested not anchored not stored refs pending

Finite configurations in sparse sets

Izabella Laba, Malabika Pramanik, Vincent Chan

arxiv:1307.1174 v1 · 2013-07-03 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GN5XGHAKAV5HCEXUZJVV2YLYS5}

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 2026-05-18T03:19:14.504680Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

337b731c0a057a7112f4ca6b5d6178977bb637475018c3d8620ee84fbc7ad61f

Aliases

arxiv: 1307.1174 · arxiv_version: 1307.1174v1 · doi: 10.48550/arxiv.1307.1174 · pith_short_12: GN5XGHAKAV5H · pith_short_16: GN5XGHAKAV5HCEXU · pith_short_8: GN5XGHAK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GN5XGHAKAV5HCEXUZJVV2YLYS5 \
  | 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: 337b731c0a057a7112f4ca6b5d6178977bb637475018c3d8620ee84fbc7ad61f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "25106c9350b45e799c862c1badc0b463761a026ade98407192f5cefaf6291f1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-03T23:55:19Z",
    "title_canon_sha256": "5a6623e9a4b19ae3536cb2460cd9fe0fa1c55c197d5d101bc91619b9efad052d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1174",
    "kind": "arxiv",
    "version": 1
  }
}