Pith Number

pith:GJ6BLKGE

pith:2026:GJ6BLKGE35LRK2HALTSFQWTL2M

not attested not anchored not stored refs pending

Source coherence orchestrates nonlinear random wave revivals

Chunhao Liang, Pujuan Ma, Sergey A. Ponomarenko, Tianyu Cao, Xin Liu, Yangjian Cai, Yanlin Bai

arxiv:2606.24174 v1 · 2026-06-23 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJ6BLKGE35LRK2HALTSFQWTL2M}

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	2026-06-24T01:14:43.940748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

327c15a8c4df571568e05ce4585a6bd32b21c9ba059cb1cf37112c726febd328

Aliases

arxiv: 2606.24174 · arxiv_version: 2606.24174v1 · doi: 10.48550/arxiv.2606.24174 · pith_short_12: GJ6BLKGE35LR · pith_short_16: GJ6BLKGE35LRK2HA · pith_short_8: GJ6BLKGE

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/GJ6BLKGE35LRK2HALTSFQWTL2M \
  | 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: 327c15a8c4df571568e05ce4585a6bd32b21c9ba059cb1cf37112c726febd328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476d34a2d09c3d5227994b5d9809cb74d670492024c38f18f8a322f2be55fe2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-23T05:54:36Z",
    "title_canon_sha256": "99216bcbe44bc749ec3946f915da793afdbc77e2ddceba50bb8763b3858fc645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24174",
    "kind": "arxiv",
    "version": 1
  }
}