Pith Number

pith:P3C4B67S

pith:2010:P3C4B67SJL762NAWRYN5CYKRYV

not attested not anchored not stored refs pending

Reasoning about Cardinal Directions between Extended Objects: The Hardness Result

Sanjiang Li, Weiming Liu

arxiv:1011.0233 v2 · 2010-11-01 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3C4B67SJL762NAWRYN5CYKRYV}

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	2026-05-18T04:37:09.828273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec5c0fbf24affed34168e1bd16151c5658d0aad0a96fa1022234a7388e0465a

Aliases

arxiv: 1011.0233 · arxiv_version: 1011.0233v2 · doi: 10.48550/arxiv.1011.0233 · pith_short_12: P3C4B67SJL76 · pith_short_16: P3C4B67SJL762NAW · pith_short_8: P3C4B67S

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/P3C4B67SJL762NAWRYN5CYKRYV \
  | 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: 7ec5c0fbf24affed34168e1bd16151c5658d0aad0a96fa1022234a7388e0465a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1cd93c53f1876c876e4d82d93e14340bbfe2a623fba877892f913d5d561c34c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2010-11-01T01:02:39Z",
    "title_canon_sha256": "f494c2d9eef7f614dcab8ba1a291b8e8552668914f718626a18ee45c2a4730d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0233",
    "kind": "arxiv",
    "version": 2
  }
}