Pith Number

pith:K5IHWYEH

pith:2006:K5IHWYEHO27I6INDKA7U5HKC46

not attested not anchored not stored refs pending

Corrected Table for the Parametric Coefficients for the Optical Depth of the Universe to Gamma-rays at Various Redshifts

F. W. Stecker, M. A. Malkan, S. T. Scully

arxiv:astro-ph/0612048 v3 · 2006-12-01 · astro-ph · 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{K5IHWYEHO27I6INDKA7U5HKC46}

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.

Cited by

1 paper in Pith

Ultra-High-Energy Tau Neutrinos as Probes of Lorentz Invariance

Receipt and verification

First computed	2026-07-04T15:16:26.667048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57507b608776be8f21a3503f4e9d42e7a17c61f0480245aca63a0548b0f2dd56

Aliases

arxiv: astro-ph/0612048 · arxiv_version: astro-ph/0612048v3 · doi: 10.48550/arxiv.astro-ph/0612048 · pith_short_12: K5IHWYEHO27I · pith_short_16: K5IHWYEHO27I6IND · pith_short_8: K5IHWYEH

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/K5IHWYEHO27I6INDKA7U5HKC46 \
  | 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: 57507b608776be8f21a3503f4e9d42e7a17c61f0480245aca63a0548b0f2dd56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0adf6d4d38b2a864556c4f49279d6e2357b1e6354e2740af79d1ba01a2288124",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-12-01T22:09:12Z",
    "title_canon_sha256": "d4c996a0ad087eecc496a626227ac6da9da1124493d45d5beaff18c8dd5c17f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0612048",
    "kind": "arxiv",
    "version": 3
  }
}