Pith Number

pith:L7AH75TH

pith:2026:L7AH75THUF4FPRTUPDTVXSIN2J

not attested not anchored not stored refs pending

BiNSGPS: Geometry Problem Solving via Bidirectional Neuro-Symbolic Interaction

Cheng-Lin Liu, Fei Yin, Peijie Wang, Qi Wang

arxiv:2606.04648 v1 · 2026-06-03 · 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{L7AH75THUF4FPRTUPDTVXSIN2J}

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	2026-06-04T01:09:23.060070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc07ff667a17857c67478e75bc90dd2635e3e2ad8611aae7dcf77a0cfd8c0b9

Aliases

arxiv: 2606.04648 · arxiv_version: 2606.04648v1 · doi: 10.48550/arxiv.2606.04648 · pith_short_12: L7AH75THUF4F · pith_short_16: L7AH75THUF4FPRTU · pith_short_8: L7AH75TH

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/L7AH75THUF4FPRTUPDTVXSIN2J \
  | 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: 5fc07ff667a17857c67478e75bc90dd2635e3e2ad8611aae7dcf77a0cfd8c0b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7cc69ff9e3895bf8b3b7201bb32ff3a4fb61766cffa0f9759047af68cc4b93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-03T09:18:37Z",
    "title_canon_sha256": "b1eb4ebd748684777b37cb0b21dda2a5a05137d7d6b9cd1229a532616d360b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04648",
    "kind": "arxiv",
    "version": 1
  }
}