Pith Number

pith:3JZPDQ5B

pith:2006:3JZPDQ5BENUXMC5KPB7KTBYTQJ

not attested not anchored not stored refs pending

Fractal Propagators in QED and QCD and Implications for the Problem of Confinement

A. Widom, J. Swain, S. Gulzari, Y. N. Srivastava

arxiv:hep-th/0612084 v1 · 2006-12-09 · 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{3JZPDQ5BENUXMC5KPB7KTBYTQJ}

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	2026-05-18T04:16:21.207912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da72f1c3a12369760baa787ea98713826ff5368c7323406719de7d1b59cc639b

Aliases

arxiv: hep-th/0612084 · arxiv_version: hep-th/0612084v1 · doi: 10.48550/arxiv.hep-th/0612084 · pith_short_12: 3JZPDQ5BENUX · pith_short_16: 3JZPDQ5BENUXMC5K · pith_short_8: 3JZPDQ5B

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/3JZPDQ5BENUXMC5KPB7KTBYTQJ \
  | 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: da72f1c3a12369760baa787ea98713826ff5368c7323406719de7d1b59cc639b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc0c3a8487f37232ea51ddc6c76e72b12bfbcb5b18d81c336ab2f96c91760a6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-09T19:57:45Z",
    "title_canon_sha256": "52944e2b1d1339505f5508c15243c17f629dbe8f4fc4638760773c9219fc9390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612084",
    "kind": "arxiv",
    "version": 1
  }
}