Pith Number

pith:DDSHCKT2

pith:1999:DDSHCKT2WR3AB3QRMMKP2CDKNE

not attested not anchored not stored refs pending

Four-Point Spectral Functions and Ward Identities in Hot QED

Hou Defu, M.E. Carrington, R. Kobes, U. Heinz

arxiv:hep-ph/9911494 v2 · 1999-11-25 · hep-ph · hep-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{DDSHCKT2WR3AB3QRMMKP2CDKNE}

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	2026-05-18T02:36:21.580136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18e4712a7ab47600ee116314fd086a6913f7cb04382908f0f23fb136492851d8

Aliases

arxiv: hep-ph/9911494 · arxiv_version: hep-ph/9911494v2 · doi: 10.48550/arxiv.hep-ph/9911494 · pith_short_12: DDSHCKT2WR3A · pith_short_16: DDSHCKT2WR3AB3QR · pith_short_8: DDSHCKT2

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/DDSHCKT2WR3AB3QRMMKP2CDKNE \
  | 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: 18e4712a7ab47600ee116314fd086a6913f7cb04382908f0f23fb136492851d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca1ef16185409dc26adc0ed4a2e75b60d6840ed2a341ecbe7c42467e7d42fff6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-11-25T18:49:57Z",
    "title_canon_sha256": "8b701af75af00315ee129408e39d1f90471e2da336300e23e6514caa2a0fe481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9911494",
    "kind": "arxiv",
    "version": 2
  }
}