Pith Number

pith:DTK7AWWE

pith:2021:DTK7AWWESULEZLNYO7PD3GFSJD

not attested not anchored not stored refs pending

Dynamical symmetry breaking through AI: The dimer self-trapping transition

D. K. Campbell, G. D. Barmparis, G. P. Tsironis

arxiv:2109.15057 v1 · 2021-09-20 · physics.comp-ph · cs.LG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTK7AWWESULEZLNYO7PD3GFSJD}

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	2026-07-05T04:25:46.347897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd5f05ac495164cadb877de3d98b248fe89acf1196f01bc5ffeab3ecfeb1d7c

Aliases

arxiv: 2109.15057 · arxiv_version: 2109.15057v1 · doi: 10.48550/arxiv.2109.15057 · pith_short_12: DTK7AWWESULE · pith_short_16: DTK7AWWESULEZLNY · pith_short_8: DTK7AWWE

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/DTK7AWWESULEZLNYO7PD3GFSJD \
  | 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: 1cd5f05ac495164cadb877de3d98b248fe89acf1196f01bc5ffeab3ecfeb1d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7f028e7bd7fb3f93dcfe64c5a5c5c92053b4b80fbc9a3db3e26e39f6bb3c2b",
    "cross_cats_sorted": [
      "cs.LG",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2021-09-20T15:31:35Z",
    "title_canon_sha256": "b8f8a18712c2a32280ceae3f18b65d73d8e0478c782ea9d15e42bf7ff01f7657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.15057",
    "kind": "arxiv",
    "version": 1
  }
}