Pith Number

pith:GCJBKZGT

pith:2015:GCJBKZGTGIUDZA5WSK5FYC66J5

not attested not anchored not stored refs pending

Axion-like particle dark matter in the linear regime of structure formation

Haoran Di, Qiaoli Yang

arxiv:1507.04672 v5 · 2015-07-16 · hep-ph · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCJBKZGTGIUDZA5WSK5FYC66J5}

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	2026-05-18T00:46:49.791251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30921564d332283c83b692ba5c0bde4f78a6832acca461bf91c061fa736b2059

Aliases

arxiv: 1507.04672 · arxiv_version: 1507.04672v5 · doi: 10.48550/arxiv.1507.04672 · pith_short_12: GCJBKZGTGIUD · pith_short_16: GCJBKZGTGIUDZA5W · pith_short_8: GCJBKZGT

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/GCJBKZGTGIUDZA5WSK5FYC66J5 \
  | 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: 30921564d332283c83b692ba5c0bde4f78a6832acca461bf91c061fa736b2059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1c6f2ec9541d4af2eeff0cf8ad098d9dcaa97e39784502d328be6620401470",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-07-16T17:55:21Z",
    "title_canon_sha256": "cbd8ecdd6f8fa99e8c00c463ddf5c57c7ca5e5f971fbe7f93e15329b60a6ca1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04672",
    "kind": "arxiv",
    "version": 5
  }
}