Pith Number

pith:GAK2Y2Z4

pith:2010:GAK2Y2Z4JX5REXBXI3V4K3XPX7

not attested not anchored not stored refs pending

QCD Critical Points and Their Associated Soft Modes

T. Kunihiro, Y. Minami, Z. Zhang

arxiv:1009.4534 v1 · 2010-09-23 · nucl-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAK2Y2Z4JX5REXBXI3V4K3XPX7}

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	2026-05-18T04:27:06.668458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3015ac6b3c4dfb125c3746ebc56eefbfdefc1adb0182e8e84b9d3c35c7def5cf

Aliases

arxiv: 1009.4534 · arxiv_version: 1009.4534v1 · doi: 10.48550/arxiv.1009.4534 · pith_short_12: GAK2Y2Z4JX5R · pith_short_16: GAK2Y2Z4JX5REXBX · pith_short_8: GAK2Y2Z4

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/GAK2Y2Z4JX5REXBXI3V4K3XPX7 \
  | 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: 3015ac6b3c4dfb125c3746ebc56eefbfdefc1adb0182e8e84b9d3c35c7def5cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a8cd0748ac5d6b7617a10e2dd06a592743546ad142fcad9f9894d403d08b1d5",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2010-09-23T07:41:15Z",
    "title_canon_sha256": "a0a09c629c7d30cac5fe23b64e1aa3d6828d4eeaa8171ff194035d618fcc1c24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4534",
    "kind": "arxiv",
    "version": 1
  }
}