Pith Number

pith:77PKGU4W

pith:2026:77PKGU4WU6LTTOFGN55NKGDO36

not attested not anchored not stored refs pending

Multi-Horizon Consistency as Geometry: When Latent Dynamics Contract, and When They Do Not

Aadi Joshi, Kavya Bhand

arxiv:2607.21645 v1 · 2026-07-21 · cs.LG · 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{77PKGU4WU6LTTOFGN55NKGDO36}

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	2026-07-27T00:20:12.747802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffdea35396a79739b8a66f7ad5186edf88f84a953d747f537ea05f961340a20c

Aliases

arxiv: 2607.21645 · arxiv_version: 2607.21645v1 · doi: 10.48550/arxiv.2607.21645 · pith_short_12: 77PKGU4WU6LT · pith_short_16: 77PKGU4WU6LTTOFG · pith_short_8: 77PKGU4W

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/77PKGU4WU6LTTOFGN55NKGDO36 \
  | 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: ffdea35396a79739b8a66f7ad5186edf88f84a953d747f537ea05f961340a20c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e522f6e396fdd5928b83f49820497f1a97803ed89ead22032b1a92f876592615",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-21T23:50:10Z",
    "title_canon_sha256": "d24257e203fc611266830d7c78c5dd19eb7451a339f5cdee35c5eec59b25163a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21645",
    "kind": "arxiv",
    "version": 1
  }
}