Pith Number

pith:Y4HZCMX7

pith:2020:Y4HZCMX7ZZF2HV4MPS2CDH4AA7

not attested not anchored not stored refs pending

Long-Lived Eccentric Modes in Circumbinary Disks

Diego J. Mu\~noz, Yoram Lithwick

arxiv:2008.08085 v2 · 2020-08-18 · astro-ph.HE · astro-ph.EP · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4HZCMX7ZZF2HV4MPS2CDH4AA7}

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	2026-07-05T02:04:42.841551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70f9132ffce4ba3d78c7cb4219f8007c66fd4b69c3070b82b2de6cd74bfc4cb

Aliases

arxiv: 2008.08085 · arxiv_version: 2008.08085v2 · doi: 10.48550/arxiv.2008.08085 · pith_short_12: Y4HZCMX7ZZF2 · pith_short_16: Y4HZCMX7ZZF2HV4M · pith_short_8: Y4HZCMX7

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/Y4HZCMX7ZZF2HV4MPS2CDH4AA7 \
  | 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: c70f9132ffce4ba3d78c7cb4219f8007c66fd4b69c3070b82b2de6cd74bfc4cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a4d700097b2aa6831e60186451f0dbc94b952e9975e222dda367c888df9a77",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2020-08-18T18:00:00Z",
    "title_canon_sha256": "1354c7f6a49f891f6e3f36cdaa54fc29540317b474b2d1ab6e7f52f63fcab7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08085",
    "kind": "arxiv",
    "version": 2
  }
}