Pith Number

pith:V34VSCN7

pith:2026:V34VSCN7ZTECC6K2JV5O5JKTE3

not attested not anchored not stored refs pending

Emergence of a monopole phase in the $J_1{-}J_2$ Heisenberg model on the triangular lattice for small magnetic fields

Federico Becca, Frank Pollmann, Johannes Knolle, Josef Willsher, Sasank Budaraju, Shi Feng

arxiv:2607.14766 v1 · 2026-07-16 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V34VSCN7ZTECC6K2JV5O5JKTE3}

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	2026-07-17T01:21:29.975056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef95909bfccc821795a4d7aeea55326c9719c6c284c1a590b84bc558945aa89

Aliases

arxiv: 2607.14766 · arxiv_version: 2607.14766v1 · doi: 10.48550/arxiv.2607.14766 · pith_short_12: V34VSCN7ZTEC · pith_short_16: V34VSCN7ZTECC6K2 · pith_short_8: V34VSCN7

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/V34VSCN7ZTECC6K2JV5O5JKTE3 \
  | 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: aef95909bfccc821795a4d7aeea55326c9719c6c284c1a590b84bc558945aa89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ffb5c799aec9e6ecf4540dc5c3d54505afc94b7562b5ca80ca34a270f9a2e0c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-16T09:49:53Z",
    "title_canon_sha256": "7957a6506ca37df42d025e558cd644bf6c82804792b4f27f2708438d1746e001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14766",
    "kind": "arxiv",
    "version": 1
  }
}