Pith Number

pith:MZBNJ53P

pith:2020:MZBNJ53PRFOUSMKOTVA3FKPOPM

not attested not anchored not stored refs pending

Perturbative deflection angle for signal with finite distance and general velocities

Junji Jia, Ke Huang

arxiv:2003.08250 v3 · 2020-03-18 · 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{MZBNJ53PRFOUSMKOTVA3FKPOPM}

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	2026-07-05T01:28:08.026776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6642d4f76f895d49314e9d41b2a9ee7b2d6bc9fbf64232c09b2aba88313ba7cf

Aliases

arxiv: 2003.08250 · arxiv_version: 2003.08250v3 · doi: 10.48550/arxiv.2003.08250 · pith_short_12: MZBNJ53PRFOU · pith_short_16: MZBNJ53PRFOUSMKO · pith_short_8: MZBNJ53P

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/MZBNJ53PRFOUSMKOTVA3FKPOPM \
  | 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: 6642d4f76f895d49314e9d41b2a9ee7b2d6bc9fbf64232c09b2aba88313ba7cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d651465330de8e7de8cbe96306ef0a486e93eed86451f2653f15433e086ed47d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-18T14:45:23Z",
    "title_canon_sha256": "d6669bdce821f7bd502df7a2b3d3d0c5bda32d62cd53fd76d1c6da0345e8170c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.08250",
    "kind": "arxiv",
    "version": 3
  }
}