Pith Number

pith:FP4E3HFJ

pith:2020:FP4E3HFJPQNHXNDYWZI6GMO6MD

not attested not anchored not stored refs pending

On Path Integration of Grid Cells: Group Representation and Isotropic Scaling

Jianwen Xie, Ruiqi Gao, Song-Chun Zhu, Xue-Xin Wei, Ying Nian Wu

arxiv:2006.10259 v6 · 2020-06-18 · q-bio.NC · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FP4E3HFJPQNHXNDYWZI6GMO6MD}

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	2026-07-05T03:28:34.799553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf84d9ca97c1a7bb478b651e331de60d71880681f02273a492b59ca9ad5b4cf

Aliases

arxiv: 2006.10259 · arxiv_version: 2006.10259v6 · doi: 10.48550/arxiv.2006.10259 · pith_short_12: FP4E3HFJPQNH · pith_short_16: FP4E3HFJPQNHXNDY · pith_short_8: FP4E3HFJ

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/FP4E3HFJPQNHXNDYWZI6GMO6MD \
  | 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: 2bf84d9ca97c1a7bb478b651e331de60d71880681f02273a492b59ca9ad5b4cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df169fbf9b912bab14606d659a2df2ffbadfdcd7f489d2e0cc6e2045f27fd8a6",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2020-06-18T03:44:35Z",
    "title_canon_sha256": "88ab9735b848e0f63c26bdf100abda5d022b849423d15eadecf2763ddf38fbca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.10259",
    "kind": "arxiv",
    "version": 6
  }
}