Pith Number

pith:VE4JHEW4

pith:2018:VE4JHEW4F33GTIUW7CACBSOHCB

not attested not anchored not stored refs pending

Gravitational birefringence and an exotic formula for redshift

Andre Tilquin, Christian Duval, Johanna Pasquet, Thomas Schucker

arxiv:1802.09295 v2 · 2018-02-26 · astro-ph.CO · 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{VE4JHEW4F33GTIUW7CACBSOHCB}

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	2026-05-18T00:12:13.819506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9389392dc2ef669a296f88020c9c7105009c6488ec8b315a55aa970e2dc954d

Aliases

arxiv: 1802.09295 · arxiv_version: 1802.09295v2 · doi: 10.48550/arxiv.1802.09295 · pith_short_12: VE4JHEW4F33G · pith_short_16: VE4JHEW4F33GTIUW · pith_short_8: VE4JHEW4

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/VE4JHEW4F33GTIUW7CACBSOHCB \
  | 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: a9389392dc2ef669a296f88020c9c7105009c6488ec8b315a55aa970e2dc954d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068c5a11c1b8d78eb9ca575d777db9b3224405b2a4b8f3b95ac05f63630abb03",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-02-26T13:49:09Z",
    "title_canon_sha256": "3e902351276c3b8cf0736cc16bfd7a7019928e980ea680f2bafa5f0fde5f1d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09295",
    "kind": "arxiv",
    "version": 2
  }
}