Pith Number

pith:WZAWWFYG

pith:2003:WZAWWFYGZIGPRGFOA7VHHSDONU

not attested not anchored not stored refs pending

Light to Mass Variations with Environment

R. Brent Tully

arxiv:astro-ph/0312441 v2 · 2003-12-17 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZAWWFYGZIGPRGFOA7VHHSDONU}

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	2026-05-18T02:40:26.732539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6416b1706ca0cf898ae07ea73c86e6d1039a42989ea9bd80cee3628072ed418

Aliases

arxiv: astro-ph/0312441 · arxiv_version: astro-ph/0312441v2 · doi: 10.48550/arxiv.astro-ph/0312441 · pith_short_12: WZAWWFYGZIGP · pith_short_16: WZAWWFYGZIGPRGFO · pith_short_8: WZAWWFYG

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/WZAWWFYGZIGPRGFOA7VHHSDONU \
  | 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: b6416b1706ca0cf898ae07ea73c86e6d1039a42989ea9bd80cee3628072ed418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc765aed226c3ebd69909860650594fa25c308e373d7297ef85983af0c6a3998",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-12-17T05:16:57Z",
    "title_canon_sha256": "a285e857660e038a397dfa6159640fe8074b694e666346ca034b8d0c863e98bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0312441",
    "kind": "arxiv",
    "version": 2
  }
}