Pith Number

pith:O2YAOXH3

pith:2017:O2YAOXH36UWUASQXOFQK2LQPTP

not attested not anchored not stored refs pending

Expressions for optical scalars and deflection angle at second order in terms of curvature scalars

Emanuel Gallo, Gabriel Crisnejo

arxiv:1712.03813 v3 · 2017-12-11 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2YAOXH36UWUASQXOFQK2LQPTP}

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	2026-05-18T00:18:35.799872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b0075cfbf52d404a177160ad2e0f9bdc7a3575c35ef390da509b77e8b5ec38

Aliases

arxiv: 1712.03813 · arxiv_version: 1712.03813v3 · doi: 10.48550/arxiv.1712.03813 · pith_short_12: O2YAOXH36UWU · pith_short_16: O2YAOXH36UWUASQX · pith_short_8: O2YAOXH3

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/O2YAOXH36UWUASQXOFQK2LQPTP \
  | 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: 76b0075cfbf52d404a177160ad2e0f9bdc7a3575c35ef390da509b77e8b5ec38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713d4f5b8fdecd79b259dc6f318911d03da4fe3b3f98991047daa4d2a400b488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-12-11T15:11:02Z",
    "title_canon_sha256": "d4f7c0591d6bbf6757178157c03b0645f31d5c7887eb732a71f9023aa6199077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03813",
    "kind": "arxiv",
    "version": 3
  }
}