Pith Number

pith:BC4OKEAN

pith:2026:BC4OKEANLUFROSAJM2UV3NCRVW

not attested not anchored not stored refs pending

A 3D Formulation of the Extended Phaseless Rytov Approximation

Alikhan Umirbayev, Amartansh Dubey, Junhui Rao, Ross Murch, Wanqin Ma, Yijun Chen, Zan Li

arxiv:2606.06933 v1 · 2026-06-05 · eess.IV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BC4OKEANLUFROSAJM2UV3NCRVW}

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	2026-06-08T01:04:36.733472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b8e5100d5d0b17480966a95db451ad82919f571f9a99b0473bd20db560ff46

Aliases

arxiv: 2606.06933 · arxiv_version: 2606.06933v1 · doi: 10.48550/arxiv.2606.06933 · pith_short_12: BC4OKEANLUFR · pith_short_16: BC4OKEANLUFROSAJ · pith_short_8: BC4OKEAN

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/BC4OKEANLUFROSAJM2UV3NCRVW \
  | 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: 08b8e5100d5d0b17480966a95db451ad82919f571f9a99b0473bd20db560ff46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b94a550acd680a850521c83fa790f5baf861fb19734a298920c35e75d447a63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.IV",
    "submitted_at": "2026-06-05T05:51:30Z",
    "title_canon_sha256": "cf6016c8199415a593178e05f56c0d6f2257c540931b6e8ecf3c65f81506583f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06933",
    "kind": "arxiv",
    "version": 1
  }
}