Pith Number

pith:XNZ2KWJ7

pith:2012:XNZ2KWJ7QZFH3KI23XEPJR53E3

not attested not anchored not stored refs pending

Improved upper and lower bounds for the point placement problem

Asish Mukhopadhyay, Md. Shafiul Alam

arxiv:1210.3833 v1 · 2012-10-14 · cs.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{XNZ2KWJ7QZFH3KI23XEPJR53E3}

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	2026-05-18T03:43:17.010228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb73a5593f864a7da91addc8f4c7bb26fbc7430cb61780441e59b2bb4b1a99d1

Aliases

arxiv: 1210.3833 · arxiv_version: 1210.3833v1 · doi: 10.48550/arxiv.1210.3833 · pith_short_12: XNZ2KWJ7QZFH · pith_short_16: XNZ2KWJ7QZFH3KI2 · pith_short_8: XNZ2KWJ7

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/XNZ2KWJ7QZFH3KI23XEPJR53E3 \
  | 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: bb73a5593f864a7da91addc8f4c7bb26fbc7430cb61780441e59b2bb4b1a99d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c16705bc3ff891a6c98c6105347b22896de66fa6efbba7ff7ef6979720a0c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-10-14T20:18:36Z",
    "title_canon_sha256": "beaa7fcd563e623aabf8e7912ff9a5395f81f94ca3be9a15d0789c192c17f415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3833",
    "kind": "arxiv",
    "version": 1
  }
}