Pith Number

pith:ZMEHGV3P

pith:2026:ZMEHGV3PIXAHROQ4TI2KWZ3SRU

not attested not anchored not stored refs pending

Many-body Tipping Dynamics of ChatGPT-like AIs

Frank Yingjie Huo, Neil F. Johnson

arxiv:2607.25279 v1 · 2026-07-28 · cs.AI · cond-mat.dis-nn · math-ph · math.MP · nlin.AO · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMEHGV3PIXAHROQ4TI2KWZ3SRU}

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	2026-07-29T01:25:04.761063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0873576f45c078ba1c9a34ab67728d334aa30927438e49b078588cce07a3d3

Aliases

arxiv: 2607.25279 · arxiv_version: 2607.25279v1 · doi: 10.48550/arxiv.2607.25279 · pith_short_12: ZMEHGV3PIXAH · pith_short_16: ZMEHGV3PIXAHROQ4 · pith_short_8: ZMEHGV3P

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/ZMEHGV3PIXAHROQ4TI2KWZ3SRU \
  | 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: cb0873576f45c078ba1c9a34ab67728d334aa30927438e49b078588cce07a3d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce115eb7546205492128db98bbecd9f48113d1023bb538d3efc8a5561f6173a2",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP",
      "nlin.AO",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-28T04:32:54Z",
    "title_canon_sha256": "16c1064ac21f7a830b0aa20d6f507cfd0e01f28ff5cc565cccb97c8b15dc8a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25279",
    "kind": "arxiv",
    "version": 1
  }
}