Pith Number

pith:TOS76QDH

pith:2019:TOS76QDHYCQ5BP4IQKUJFU32QT

not attested not anchored not stored refs pending

Osculating Versus Intersecting Circles in Space-Based Microlens Parallax Degeneracies

Andrew Gould (MPIA, OSU)

arxiv:1905.06770 v2 · 2019-05-16 · astro-ph.EP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOS76QDHYCQ5BP4IQKUJFU32QT}

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	2026-07-05T00:06:43.773078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba5ff4067c0a1d0bf8882a892d37a84dfbbcdc3c8b466dc3142f7a100dfcdee

Aliases

arxiv: 1905.06770 · arxiv_version: 1905.06770v2 · doi: 10.48550/arxiv.1905.06770 · pith_short_12: TOS76QDHYCQ5 · pith_short_16: TOS76QDHYCQ5BP4I · pith_short_8: TOS76QDH

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/TOS76QDHYCQ5BP4IQKUJFU32QT \
  | 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: 9ba5ff4067c0a1d0bf8882a892d37a84dfbbcdc3c8b466dc3142f7a100dfcdee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065d7840c80e42ef1329e1972dbe1a6d0c913c4f544b2c9af8d80ae1f6a101a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2019-05-16T14:15:40Z",
    "title_canon_sha256": "fb1499573aa88b9cd4dd763eb245b3c72557ebb0170ab6560af211d29fa3f98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06770",
    "kind": "arxiv",
    "version": 2
  }
}