pith. sign in
Pith Number

pith:ZW2GPT2Q

pith:2014:ZW2GPT2QRZLUYA7PJHEU73OAYU
not attested not anchored not stored refs pending

From Small Space to Small Width in Resolution

Jakob Nordstr\"om, Marc Vinyals, Massimo Lauria, Mladen Mik\v{s}a, Yuval Filmus

arxiv:1409.2978 v1 · 2014-09-10 · cs.CC · cs.DM · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZW2GPT2QRZLUYA7PJHEU73OAYU}

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 2026-05-18T02:43:08.625211Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cdb467cf508e574c03ef49c94fedc0c51ca27627a49aa4f31f81f2fb679a554c

Aliases

arxiv: 1409.2978 · arxiv_version: 1409.2978v1 · doi: 10.48550/arxiv.1409.2978 · pith_short_12: ZW2GPT2QRZLU · pith_short_16: ZW2GPT2QRZLUYA7P · pith_short_8: ZW2GPT2Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZW2GPT2QRZLUYA7PJHEU73OAYU \
  | 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: cdb467cf508e574c03ef49c94fedc0c51ca27627a49aa4f31f81f2fb679a554c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "12efaf5ad6fd1f4c59cd695ab6b7e4430f50eacd8c86db0afe3acf3f47ff76c0",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-09-10T07:49:54Z",
    "title_canon_sha256": "8ace8d6a7d63f4b2890490e41ad4432dc684fd41d067aea4e4a89b20c8095fe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2978",
    "kind": "arxiv",
    "version": 1
  }
}