Pith Number

pith:N6MQDJPF

pith:2026:N6MQDJPFZJ2MBBIFGOJ7JSHHDM

not attested not anchored not stored refs pending

World-Model Collapse as a Phase Transition

Xinyuan Song, Zekun Cai

arxiv:2606.31399 v1 · 2026-06-30 · 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{N6MQDJPFZJ2MBBIFGOJ7JSHHDM}

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	2026-07-01T01:18:01.885204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f9901a5e5ca74c085053393f4c8e71b344534a85ff9044cacb9adc3da18ede4

Aliases

arxiv: 2606.31399 · arxiv_version: 2606.31399v1 · doi: 10.48550/arxiv.2606.31399 · pith_short_12: N6MQDJPFZJ2M · pith_short_16: N6MQDJPFZJ2MBBIF · pith_short_8: N6MQDJPF

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/N6MQDJPFZJ2MBBIFGOJ7JSHHDM \
  | 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: 6f9901a5e5ca74c085053393f4c8e71b344534a85ff9044cacb9adc3da18ede4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ef80caa117549f4e44d7cc80db7ab04e5080ccf5dd4c52dccecd6c7e58dbd8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-30T09:28:01Z",
    "title_canon_sha256": "ffa7de43776854bebcd1a88fdd302b0aeb2db84355d59ae1d263d4510b1dad39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31399",
    "kind": "arxiv",
    "version": 1
  }
}