Pith Number

pith:ZLWKFDS4

pith:2021:ZLWKFDS46Y2K47XK56JUTCP6VQ

not attested not anchored not stored refs pending

On the relation between the propagator matrix and the Marchenko focusing function

Kees Wapenaar, Sjoerd de Ridder

arxiv:2109.05102 v2 · 2021-09-10 · 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{ZLWKFDS46Y2K47XK56JUTCP6VQ}

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	2026-06-19T16:11:07.102549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caeca28e5cf634ae7eeaef934989feac0099f6153152709ad2dbecaf121d27ad

Aliases

arxiv: 2109.05102 · arxiv_version: 2109.05102v2 · doi: 10.48550/arxiv.2109.05102 · pith_short_12: ZLWKFDS46Y2K · pith_short_16: ZLWKFDS46Y2K47XK · pith_short_8: ZLWKFDS4

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/ZLWKFDS46Y2K47XK56JUTCP6VQ \
  | 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: caeca28e5cf634ae7eeaef934989feac0099f6153152709ad2dbecaf121d27ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ed82e761cc950a869cab45fff0101819b7abeb97697bb62697204b2c155d3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2021-09-10T20:42:45Z",
    "title_canon_sha256": "dbdce312af2347ce0c25dbdd7a2a9754cbe4e0e364a37905797b5badbe98eeba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05102",
    "kind": "arxiv",
    "version": 2
  }
}