Pith Number

pith:UN33EXAM

pith:2012:UN33EXAM2NGLBNP27S6QPN5FF5

not attested not anchored not stored refs pending

Direction of light propagation to order G^2 in static, spherically symmetric spacetimes: a new derivation

Pierre Teyssandier

arxiv:1206.6309 v2 · 2012-06-27 · 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{UN33EXAM2NGLBNP27S6QPN5FF5}

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	2026-05-18T01:56:41.279185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a377b25c0cd34cb0b5fafcbd07b7a52f739ea76ac5a8d12ab0749a802f69e11b

Aliases

arxiv: 1206.6309 · arxiv_version: 1206.6309v2 · doi: 10.48550/arxiv.1206.6309 · pith_short_12: UN33EXAM2NGL · pith_short_16: UN33EXAM2NGLBNP2 · pith_short_8: UN33EXAM

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/UN33EXAM2NGLBNP27S6QPN5FF5 \
  | 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: a377b25c0cd34cb0b5fafcbd07b7a52f739ea76ac5a8d12ab0749a802f69e11b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe080053d20ba9a9c25906aa64b0cdd6334a0288e521f97efee30d1b28101a73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-06-27T15:28:29Z",
    "title_canon_sha256": "14200276979fe95e1352ce58090c63c3e9c7fcd29c875b22f6481520b67b37c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6309",
    "kind": "arxiv",
    "version": 2
  }
}