Pith Number

pith:VLL7LEFB

pith:2019:VLL7LEFBC5B6FOGQAC47KCSG7U

not attested not anchored not stored refs pending

Christoffel equation in the polarization variables

Vladimir Grechka

arxiv:1907.10142 v1 · 2019-07-17 · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLL7LEFBC5B6FOGQAC47KCSG7U}

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	2026-05-17T23:39:38.918698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad7f590a11743e2b8d000b9f50a46fd01f07bf64a35b2328fcb232829f87618

Aliases

arxiv: 1907.10142 · arxiv_version: 1907.10142v1 · doi: 10.48550/arxiv.1907.10142 · pith_short_12: VLL7LEFBC5B6 · pith_short_16: VLL7LEFBC5B6FOGQ · pith_short_8: VLL7LEFB

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/VLL7LEFBC5B6FOGQAC47KCSG7U \
  | 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: aad7f590a11743e2b8d000b9f50a46fd01f07bf64a35b2328fcb232829f87618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "565728a953b9a7159b05fe9dded7a1ccdf87c5f003710974955c740179320797",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2019-07-17T22:30:45Z",
    "title_canon_sha256": "461ea6bc8782b3fd19bddbcd433859068c0dcdf6494968fb5cffc3b234f21801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10142",
    "kind": "arxiv",
    "version": 1
  }
}