Pith Number

pith:BV77WXTK

pith:2012:BV77WXTKA45LOCW3AHBX47SGNF

not attested not anchored not stored refs pending

An Analytic Formula for the Supercluster Mass Function

2), (2) Seoul National University), Jounghun Lee (2) ((1) UMass at Amherst, Seunghwan Lim (1

arxiv:1201.1382 v2 · 2012-01-06 · 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{BV77WXTKA45LOCW3AHBX47SGNF}

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	2026-05-18T01:58:54.981412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d7ffb5e6a073ab70adb01c37e7e466960f2a49d5faba8fdd6454d7c3f45f512

Aliases

arxiv: 1201.1382 · arxiv_version: 1201.1382v2 · doi: 10.48550/arxiv.1201.1382 · pith_short_12: BV77WXTKA45L · pith_short_16: BV77WXTKA45LOCW3 · pith_short_8: BV77WXTK

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/BV77WXTKA45LOCW3AHBX47SGNF \
  | 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: 0d7ffb5e6a073ab70adb01c37e7e466960f2a49d5faba8fdd6454d7c3f45f512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "188bfe40c3a1a22206ff71a07a7df8c7c0ed0cc3106c5a90a9eb4e2d552ac1f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-06T09:58:52Z",
    "title_canon_sha256": "54a58a96db82391ab271ff19b39483b87c5c0ef43525d9f95b0aff0933642d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1382",
    "kind": "arxiv",
    "version": 2
  }
}