Pith Number

pith:HH4HIAXD

pith:2006:HH4HIAXDWBSQYULXXQKJK2RIKI

not attested not anchored not stored refs pending

Light Propagation Effects In QED: Effective Action Approach

D.G. Pak, M.L. Walker, Y.M. Cho

arxiv:hep-th/0603031 v1 · 2006-03-06 · hep-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{HH4HIAXDWBSQYULXXQKJK2RIKI}

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	2026-07-04T15:19:58.751162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f87402e3b0650c5177bc14956a28521ecec05688be5f3ae1cb7b698b24afc1

Aliases

arxiv: hep-th/0603031 · arxiv_version: hep-th/0603031v1 · doi: 10.48550/arxiv.hep-th/0603031 · pith_short_12: HH4HIAXDWBSQ · pith_short_16: HH4HIAXDWBSQYULX · pith_short_8: HH4HIAXD

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/HH4HIAXDWBSQYULXXQKJK2RIKI \
  | 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: 39f87402e3b0650c5177bc14956a28521ecec05688be5f3ae1cb7b698b24afc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30245e357d7090353f22b801ec24b2ff91eeecb79de137b525b643d9df1d1a6d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-03-06T08:15:07Z",
    "title_canon_sha256": "9c84afadc50537ca93f3f06c2f073d242fffc851abc929ac0c767165c30056a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0603031",
    "kind": "arxiv",
    "version": 1
  }
}