Pith Number

pith:LW7T7F6P

pith:2013:LW7T7F6PYH7YE3TCBGZRCAJQVD

not attested not anchored not stored refs pending

Degeneracies in triple gravitational microlensing

Jin H. An, Shude Mao, Ying-Yi Song

arxiv:1311.3103 v2 · 2013-11-13 · 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{LW7T7F6PYH7YE3TCBGZRCAJQVD}

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	2026-05-18T01:46:31.591395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbf3f97cfc1ff826e6209b3110130a8cd6ac9ac2e0321ad5a2ed637f11086d5

Aliases

arxiv: 1311.3103 · arxiv_version: 1311.3103v2 · doi: 10.48550/arxiv.1311.3103 · pith_short_12: LW7T7F6PYH7Y · pith_short_16: LW7T7F6PYH7YE3TC · pith_short_8: LW7T7F6P

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/LW7T7F6PYH7YE3TCBGZRCAJQVD \
  | 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: 5dbf3f97cfc1ff826e6209b3110130a8cd6ac9ac2e0321ad5a2ed637f11086d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa441e2f0a464da7477ee91981de683c2fe02c9983a8d832c32ec3c7d084eaf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2013-11-13T12:23:59Z",
    "title_canon_sha256": "da251d81b8ea4bdb22cec055f52bf263f4a6cba3d822ab0848a688331a241a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3103",
    "kind": "arxiv",
    "version": 2
  }
}