Pith Number

pith:V5LEIGF2

pith:2026:V5LEIGF2DNYCED3VYPDHQWXIPQ

not attested not anchored not stored refs pending

The Equilibrium Is the Initialization: Lazy Identity Collapse in Physics-Structured Deep Equilibrium Reasoning

Joyjeet Singh

arxiv:2607.11116 v1 · 2026-07-13 · 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{V5LEIGF2DNYCED3VYPDHQWXIPQ}

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	2026-07-14T01:22:17.302327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af564418ba1b70220f75c3c6785ae87c25afa76c5ba14bad40113ec8af533c85

Aliases

arxiv: 2607.11116 · arxiv_version: 2607.11116v1 · doi: 10.48550/arxiv.2607.11116 · pith_short_12: V5LEIGF2DNYC · pith_short_16: V5LEIGF2DNYCED3V · pith_short_8: V5LEIGF2

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/V5LEIGF2DNYCED3VYPDHQWXIPQ \
  | 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: af564418ba1b70220f75c3c6785ae87c25afa76c5ba14bad40113ec8af533c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c9a04857d889e83bbdb99582f23a22010d5430395713e31bedd5fc3ec06426",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-13T05:45:35Z",
    "title_canon_sha256": "1dfc6c6d3a4a2d5e0be44cbb4529ceed2fb73d6a88e0641c2d899184084a73d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11116",
    "kind": "arxiv",
    "version": 1
  }
}