Pith Number

pith:FN6ULCTT

pith:2010:FN6ULCTTC4TDSTONJTST7NPFV6

not attested not anchored not stored refs pending

Ultrafast effective multi-level atom method for primordial hydrogen recombination

Christopher M. Hirata, Yacine Ali-Ha\"imoud

arxiv:1006.1355 v2 · 2010-06-07 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FN6ULCTTC4TDSTONJTST7NPFV6}

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

2 papers in Pith

CMB constraints on ultra-light primordial black holes with extended mass distributions

Planck 2018 results. VI. Cosmological parameters

Receipt and verification

First computed	2026-05-18T02:33:17.750983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b7d458a731726394dcd4ce53fb5e5afa7764cb5ccb0f0a4f304ac4dce26ea38

Aliases

arxiv: 1006.1355 · arxiv_version: 1006.1355v2 · doi: 10.48550/arxiv.1006.1355 · pith_short_12: FN6ULCTTC4TD · pith_short_16: FN6ULCTTC4TDSTON · pith_short_8: FN6ULCTT

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/FN6ULCTTC4TDSTONJTST7NPFV6 \
  | 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: 2b7d458a731726394dcd4ce53fb5e5afa7764cb5ccb0f0a4f304ac4dce26ea38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628981e93e9199d9a1ab78b37d9a23732625b7c5cfd89cac202445799b4ddbb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-06-07T20:00:02Z",
    "title_canon_sha256": "e360194cd96fd4052baef3927e5133a0fea6a6779a67440cfc28ea157e60ba0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1355",
    "kind": "arxiv",
    "version": 2
  }
}