Pith Number

pith:BPHZMHNZ

pith:2015:BPHZMHNZOP2GNYAMIUXPD4SWSP

not attested not anchored not stored refs pending

Heterodyne Holography with full control of both signal and reference arms

Michel Gross

arxiv:1511.04257 v1 · 2015-11-13 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPHZMHNZOP2GNYAMIUXPD4SWSP}

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	2026-05-18T01:26:59.294607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bcf961db973f466e00c452ef1f25693c1349925c3e707f7f6513ed1ea157aab

Aliases

arxiv: 1511.04257 · arxiv_version: 1511.04257v1 · doi: 10.48550/arxiv.1511.04257 · pith_short_12: BPHZMHNZOP2G · pith_short_16: BPHZMHNZOP2GNYAM · pith_short_8: BPHZMHNZ

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/BPHZMHNZOP2GNYAMIUXPD4SWSP \
  | 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: 0bcf961db973f466e00c452ef1f25693c1349925c3e707f7f6513ed1ea157aab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b4884c03f7f0dd211ad77694b9d8df5282037799b2c66d60d2c8aed62c6b3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-11-13T12:21:29Z",
    "title_canon_sha256": "278ee1fbe103f937677c1b1f1133f78b339b141cef179892738e1d5a19c6ca2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04257",
    "kind": "arxiv",
    "version": 1
  }
}