Pith Number

pith:6GYEYKTL

pith:2021:6GYEYKTLIT57U56DZC3GHMBIVD

not attested not anchored not stored refs pending

The observed cosmic star formation rate density has an evolution which resembles a {\Gamma}(a, bt) distribution and can be described successfully by only 2 parameters

Antonios Katsianis, Xianzhong Zheng, Xiaohu Yang

arxiv:2107.02733 v1 · 2021-07-06 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GYEYKTLIT57U56DZC3GHMBIVD}

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	2026-07-05T03:19:16.560018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b04c2a6b44fbfa77c3c8b663b028a8ca1fecbae9c186c3aec4ec9169708828

Aliases

arxiv: 2107.02733 · arxiv_version: 2107.02733v1 · doi: 10.48550/arxiv.2107.02733 · pith_short_12: 6GYEYKTLIT57 · pith_short_16: 6GYEYKTLIT57U56D · pith_short_8: 6GYEYKTL

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/6GYEYKTLIT57U56DZC3GHMBIVD \
  | 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: f1b04c2a6b44fbfa77c3c8b663b028a8ca1fecbae9c186c3aec4ec9169708828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa7b9e9ab73cb6bcf5cdbb0ada4483d05ff02a50dfd99c6bfdbf1d796c5ec7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-07-06T17:02:06Z",
    "title_canon_sha256": "9faae30b9f28cadd955d43c8375a9943760846f85f04bb376002c6fe8a9f8cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.02733",
    "kind": "arxiv",
    "version": 1
  }
}