Pith Number

pith:I7U2I4XE

pith:2015:I7U2I4XEHKYR46DZIDXWB6YURR

not attested not anchored not stored refs pending

Ground state patterns and phase transition of spin-1 Bose-Einstein condensates via \Gamma-convergence theory

Chiu-Fen Chou, I-Liang Chern, Tien-Tsan Shieh

arxiv:1509.05182 v2 · 2015-09-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7U2I4XEHKYR46DZIDXWB6YURR}

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	2026-05-18T01:31:29.565490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e9a472e43ab11e787940ef60fb148c6fece20f030cd094240fe28589bbaffb

Aliases

arxiv: 1509.05182 · arxiv_version: 1509.05182v2 · doi: 10.48550/arxiv.1509.05182 · pith_short_12: I7U2I4XEHKYR · pith_short_16: I7U2I4XEHKYR46DZ · pith_short_8: I7U2I4XE

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/I7U2I4XEHKYR46DZIDXWB6YURR \
  | 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: 47e9a472e43ab11e787940ef60fb148c6fece20f030cd094240fe28589bbaffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdfd310eeaa7dc91408a5947603fcff20719072d18505d996c502a04710a31d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-17T09:39:04Z",
    "title_canon_sha256": "3379fdddd28d48dd3bf93530e1e6a99d588de86e1ff3de42de40abc18ecc2e05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05182",
    "kind": "arxiv",
    "version": 2
  }
}