Pith Number

pith:N4W5AG6Q

pith:2021:N4W5AG6Q2WPOAIWIYXXJ2WWPUQ

not attested not anchored not stored refs pending

Relic density of dark matter in the inert doublet model beyond leading order for the low mass region: 2. Co-annihilation

Fawzi Boudjema, Hao Sun, Nabarun Chakrabarty, Shankha Banerjee

arxiv:2101.02166 v1 · 2021-01-06 · hep-ph · hep-ex

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4W5AG6Q2WPOAIWIYXXJ2WWPUQ}

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	2026-07-05T03:21:41.817472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f2dd01bd0d59ee022c8c5ee9d5acfa413181ce20ee6e50e4ccb6890e9ecfc4a

Aliases

arxiv: 2101.02166 · arxiv_version: 2101.02166v1 · doi: 10.48550/arxiv.2101.02166 · pith_short_12: N4W5AG6Q2WPO · pith_short_16: N4W5AG6Q2WPOAIWI · pith_short_8: N4W5AG6Q

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/N4W5AG6Q2WPOAIWIYXXJ2WWPUQ \
  | 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: 6f2dd01bd0d59ee022c8c5ee9d5acfa413181ce20ee6e50e4ccb6890e9ecfc4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edfa9299bb5a2e38879c78b03530ed85c32c64ba7981dc59d638097a1ec4e9ce",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-01-06T18:03:50Z",
    "title_canon_sha256": "d1d96fb59851ea22625c9b7114799389ef77a9b04b5b2a2ed34dc273e52c01da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.02166",
    "kind": "arxiv",
    "version": 1
  }
}