Pith Number

pith:UWRG2CUY

pith:2016:UWRG2CUYYCMKZLTBO74QCZCPD4

not attested not anchored not stored refs pending

Supercritical Space-Width Trade-offs for Resolution

Christoph Berkholz, Jakob Nordstr\"om

arxiv:1612.07162 v1 · 2016-12-21 · cs.CC · cs.DM · cs.LO · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UWRG2CUYYCMKZLTBO74QCZCPD4}

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	2026-05-18T00:54:14.534059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5a26d0a98c098acae6177f901644f1f3de9fd530b38baf9517699be03b3c40b

Aliases

arxiv: 1612.07162 · arxiv_version: 1612.07162v1 · doi: 10.48550/arxiv.1612.07162 · pith_short_12: UWRG2CUYYCMK · pith_short_16: UWRG2CUYYCMKZLTB · pith_short_8: UWRG2CUY

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/UWRG2CUYYCMKZLTBO74QCZCPD4 \
  | 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: a5a26d0a98c098acae6177f901644f1f3de9fd530b38baf9517699be03b3c40b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99642a097c6ffe4d3d6691cdf2288d0d841ff3eb3cf48b2affef5c758d784933",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO",
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-12-21T15:02:45Z",
    "title_canon_sha256": "6fc655ea2c8210046cb18590de03184abee0d5d98a5ab0bb8fde21779a25db98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07162",
    "kind": "arxiv",
    "version": 1
  }
}