pith. sign in
Pith Number

pith:DJAMBADV

pith:2019:DJAMBADVQ2BPK4GE4MSGLIHNS4
not attested not anchored not stored refs pending

Exploring Gravitational Lensing

Tilman Sauer, Tobias Sch\"utz

arxiv:1905.07174 v1 · 2019-05-17 · physics.hist-ph · physics.ed-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DJAMBADVQ2BPK4GE4MSGLIHNS4}

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 2026-05-17T23:45:56.261782Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1a40c080758682f570c4e32465a0ed972850e2ecece5701e65956deeaa50457f

Aliases

arxiv: 1905.07174 · arxiv_version: 1905.07174v1 · doi: 10.48550/arxiv.1905.07174 · pith_short_12: DJAMBADVQ2BP · pith_short_16: DJAMBADVQ2BPK4GE · pith_short_8: DJAMBADV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DJAMBADVQ2BPK4GE4MSGLIHNS4 \
  | 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: 1a40c080758682f570c4e32465a0ed972850e2ecece5701e65956deeaa50457f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b3faf9ce684d2a813d146002cc27a33bd81baddff9d5a0cb3361a63364acb1e8",
    "cross_cats_sorted": [
      "physics.ed-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2019-05-17T09:07:51Z",
    "title_canon_sha256": "ae0c80c699ec89da5e64e4ecd0b1e10e48175a3b23f05c780dd60a0b43b4c379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07174",
    "kind": "arxiv",
    "version": 1
  }
}