Pith Number

pith:AHZQU4GE

pith:2008:AHZQU4GEPEDA6LKGDZRFBPHULB

not attested not anchored not stored refs pending

Lecture Notes on CMB Theory: From Nucleosynthesis to Recombination

U. Chicago), Wayne Hu (KICP

arxiv:0802.3688 v1 · 2008-02-25 · astro-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{AHZQU4GEPEDA6LKGDZRFBPHULB}

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	2026-07-04T15:09:48.065256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01f30a70c479060f2d461e6250bcf4586ae11b068563b0a5266a23c6bf5dc2fc

Aliases

arxiv: 0802.3688 · arxiv_version: 0802.3688v1 · doi: 10.48550/arxiv.0802.3688 · pith_short_12: AHZQU4GEPEDA · pith_short_16: AHZQU4GEPEDA6LKG · pith_short_8: AHZQU4GE

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/AHZQU4GEPEDA6LKGDZRFBPHULB \
  | 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: 01f30a70c479060f2d461e6250bcf4586ae11b068563b0a5266a23c6bf5dc2fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53bea44a2798d78c836f33d38d1b16097ec0b32628c4271c5d16462fa4fad0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-02-25T20:11:23Z",
    "title_canon_sha256": "31788cff5e1469c8033a2aabf7c2fc280b8842ff27e02063d283f2d2202dd4b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3688",
    "kind": "arxiv",
    "version": 1
  }
}