Pith Number

pith:JRI6MY2H

pith:2010:JRI6MY2HQ5K6ZJU3ZOXKTIR7HD

not attested not anchored not stored refs pending

Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field

Andreas M. L\"auchli, Fabian H.L. Essler, Fr\'ed\'eric Mila, Salvatore R. Manmana

arxiv:1012.4518 v2 · 2010-12-21 · 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{JRI6MY2HQ5K6ZJU3ZOXKTIR7HD}

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	2026-05-18T04:20:58.976006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c51e663478755eca69bcbaea9a23f38c7eab03ea3a95a0104fdcb4885a36383

Aliases

arxiv: 1012.4518 · arxiv_version: 1012.4518v2 · doi: 10.48550/arxiv.1012.4518 · pith_short_12: JRI6MY2HQ5K6 · pith_short_16: JRI6MY2HQ5K6ZJU3 · pith_short_8: JRI6MY2H

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/JRI6MY2HQ5K6ZJU3ZOXKTIR7HD \
  | 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: 4c51e663478755eca69bcbaea9a23f38c7eab03ea3a95a0104fdcb4885a36383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da8a7f4161acfa697674e93bb61e6a9b0b1c143c1a06cb9118e9d9fc2551ef08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-12-21T00:29:14Z",
    "title_canon_sha256": "99e38baffef711d4041ab2274ba18aaca16e18d37466af8f5dd5ccf7536b7eb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4518",
    "kind": "arxiv",
    "version": 2
  }
}