Pith Number

pith:PCRZCZZC

pith:2011:PCRZCZZCTUCDUB5RRZ3QLVF5BV

not attested not anchored not stored refs pending

Exact Extreme Value Statistics and the Halo Mass Function

Ian Harrison, Peter Coles

arxiv:1108.1358 v2 · 2011-08-05 · 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{PCRZCZZCTUCDUB5RRZ3QLVF5BV}

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	2026-05-18T04:07:41.633138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a39167229d043a07b18e7705d4bd0d4e9424a430f3ab8002cb30812325e53b

Aliases

arxiv: 1108.1358 · arxiv_version: 1108.1358v2 · doi: 10.48550/arxiv.1108.1358 · pith_short_12: PCRZCZZCTUCD · pith_short_16: PCRZCZZCTUCDUB5R · pith_short_8: PCRZCZZC

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/PCRZCZZCTUCDUB5RRZ3QLVF5BV \
  | 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: 78a39167229d043a07b18e7705d4bd0d4e9424a430f3ab8002cb30812325e53b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b1de855a3f8b20c9237a086f557ee71b70902e5f5b9f381ae23b87f21b9ec5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-08-05T16:05:01Z",
    "title_canon_sha256": "ee2c44400d42fbd0488eaaf3dadda935c87d1bd77f1cb17c5b6bb3ab94285881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1358",
    "kind": "arxiv",
    "version": 2
  }
}