Pith Number

pith:A4LCIZGH

pith:2010:A4LCIZGHMJALLJIOEIVFKUKBZF

not attested not anchored not stored refs pending

The Slope of the Upper End of the IMF and the Upper Mass Limit: An Observer's Perspective

Philip Massey

arxiv:1008.1014 v2 · 2010-08-05 · astro-ph.SR · astro-ph.CO · 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{A4LCIZGHMJALLJIOEIVFKUKBZF}

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	2026-05-18T04:42:33.452333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07162464c76240b5a50e222a555141c96a0b03d5fc5ef0a29e05cc9a2cd8775b

Aliases

arxiv: 1008.1014 · arxiv_version: 1008.1014v2 · doi: 10.48550/arxiv.1008.1014 · pith_short_12: A4LCIZGHMJAL · pith_short_16: A4LCIZGHMJALLJIO · pith_short_8: A4LCIZGH

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/A4LCIZGHMJALLJIOEIVFKUKBZF \
  | 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: 07162464c76240b5a50e222a555141c96a0b03d5fc5ef0a29e05cc9a2cd8775b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc9c872ea9490b5040d1c37cf94346e98cefee35cef8bfd9ff825fd0b7366e8",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2010-08-05T16:03:40Z",
    "title_canon_sha256": "186b32b6d211182cb7a894d9f625c1f75367f8f736c3911c2952b4d3f911d6fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1014",
    "kind": "arxiv",
    "version": 2
  }
}