Pith Number

pith:PJYKL3SW

pith:2007:PJYKL3SW4OUAQIU3EEVN3U5WCZ

not attested not anchored not stored refs pending

From discs to planetesimals I: evolution of gas and dust discs

Richard Alexander

arxiv:0712.0388 v1 · 2007-12-03 · 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{PJYKL3SW4OUAQIU3EEVN3U5WCZ}

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	2026-07-04T15:30:47.997182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a70a5ee56e3a808229b212addd3b61658c297373a16d84ef33a1a598dfa92ea

Aliases

arxiv: 0712.0388 · arxiv_version: 0712.0388v1 · doi: 10.48550/arxiv.0712.0388 · pith_short_12: PJYKL3SW4OUA · pith_short_16: PJYKL3SW4OUAQIU3 · pith_short_8: PJYKL3SW

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/PJYKL3SW4OUAQIU3EEVN3U5WCZ \
  | 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: 7a70a5ee56e3a808229b212addd3b61658c297373a16d84ef33a1a598dfa92ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785848a3a615508a25daecfb72e0c2d8079928fdb6f80197d8c6c4cefc658501",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-12-03T21:02:08Z",
    "title_canon_sha256": "046a4779bbb76fc8ae8dc00fb2c85c856f954f1c98ef5e6f6ddf8b31fccc7b93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0388",
    "kind": "arxiv",
    "version": 1
  }
}