Pith Number

pith:ANGX5FUJ

pith:2002:ANGX5FUJLFDOZEKDFD3JRUFGX2

not attested not anchored not stored refs pending

Phase Structure of Hot and/or Dense QCD with the Schwinger-Dyson Equation

Satoshi Takagi

arxiv:hep-ph/0210227 v2 · 2002-10-16 · hep-ph · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANGX5FUJLFDOZEKDFD3JRUFGX2}

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	2026-05-18T01:06:13.964104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

034d7e96895946ec914328f698d0a6be928920239a1962513f5a286415d2582f

Aliases

arxiv: hep-ph/0210227 · arxiv_version: hep-ph/0210227v2 · doi: 10.48550/arxiv.hep-ph/0210227 · pith_short_12: ANGX5FUJLFDO · pith_short_16: ANGX5FUJLFDOZEKD · pith_short_8: ANGX5FUJ

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/ANGX5FUJLFDOZEKDFD3JRUFGX2 \
  | 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: 034d7e96895946ec914328f698d0a6be928920239a1962513f5a286415d2582f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd28f56a6f322f984acdf57910e234630ae7f070aea60a347a506bdfdac59b7",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-10-16T09:24:09Z",
    "title_canon_sha256": "7f14c384534854934f9f22e0cc36e15599b0bea31663ee98490d80849f12cce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0210227",
    "kind": "arxiv",
    "version": 2
  }
}