Pith Number

pith:54B36VHQ

pith:2026:54B36VHQWJZ6UWDYMHVO6O75JZ

not attested not anchored not stored refs pending

Emergent Ordinal Geometry in Transformers Trained on Local Comparisons

Nishit Singh

arxiv:2606.01269 v1 · 2026-05-31 · 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{54B36VHQWJZ6UWDYMHVO6O75JZ}

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	2026-06-02T02:04:28.470515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef03bf54f0b273ea587861eaef3bfd4e7051f630fbef9964890c03b513d5d471

Aliases

arxiv: 2606.01269 · arxiv_version: 2606.01269v1 · doi: 10.48550/arxiv.2606.01269 · pith_short_12: 54B36VHQWJZ6 · pith_short_16: 54B36VHQWJZ6UWDY · pith_short_8: 54B36VHQ

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/54B36VHQWJZ6UWDYMHVO6O75JZ \
  | 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: ef03bf54f0b273ea587861eaef3bfd4e7051f630fbef9964890c03b513d5d471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a47db7f45f8f956cc2db78aecc44c71b88706a3529869b2adea85e649be7ac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-31T14:44:54Z",
    "title_canon_sha256": "9b212db42ffe322bf15ae2bcdb4a54e6a311cfe7cf6d80d86a137482b9718535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01269",
    "kind": "arxiv",
    "version": 1
  }
}