Pith Number

pith:HE6KX52G

pith:2010:HE6KX52GHKDKLELZHVSQ6OUDC2

not attested not anchored not stored refs pending

Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential

Dongsu Bak, Kyung Kiu Kim, Sangheon Yun

arxiv:1011.5749 v4 · 2010-11-26 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HE6KX52GHKDKLELZHVSQ6OUDC2}

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	2026-05-18T03:23:36.490386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

393cabf7463a86a591793d650f3a8316b9d9a4ecb3635244197a2baf1b905471

Aliases

arxiv: 1011.5749 · arxiv_version: 1011.5749v4 · doi: 10.48550/arxiv.1011.5749 · pith_short_12: HE6KX52GHKDK · pith_short_16: HE6KX52GHKDKLELZ · pith_short_8: HE6KX52G

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/HE6KX52GHKDKLELZHVSQ6OUDC2 \
  | 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: 393cabf7463a86a591793d650f3a8316b9d9a4ecb3635244197a2baf1b905471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428e63ac26c17323c89553a5acd5fbb53e6f842b145543e0ea10530216c1b36f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-26T10:29:25Z",
    "title_canon_sha256": "d826128e791fa093ac423f8dbf26efa55e5975a886afd6fe578c6def5170083a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5749",
    "kind": "arxiv",
    "version": 4
  }
}