Pith Number

pith:NWSPJJ4R

pith:2017:NWSPJJ4RTSQ32O3FLQM5EWDMRW

not attested not anchored not stored refs pending

Modal analysis of wave propagation in dispersive media

B. Gralak, M. Ismail Abdelrahman

arxiv:1711.05553 v2 · 2017-11-15 · 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{NWSPJJ4RTSQ32O3FLQM5EWDMRW}

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	2026-05-18T00:25:16.157105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da4f4a7919ca1bd3b655c19d2586c8d984cbb7cea9c2ace47c0309b55b05f61

Aliases

arxiv: 1711.05553 · arxiv_version: 1711.05553v2 · doi: 10.48550/arxiv.1711.05553 · pith_short_12: NWSPJJ4RTSQ3 · pith_short_16: NWSPJJ4RTSQ32O3F · pith_short_8: NWSPJJ4R

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/NWSPJJ4RTSQ32O3FLQM5EWDMRW \
  | 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: 6da4f4a7919ca1bd3b655c19d2586c8d984cbb7cea9c2ace47c0309b55b05f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6159e9730141fde939d4e806f62923499c5b4c9c8c2925696d1b942ac69839e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-11-15T13:10:49Z",
    "title_canon_sha256": "41df1a7902cf9d1fbd335b7715c9f7326a944e51f3525efa14aed5735bd8f09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05553",
    "kind": "arxiv",
    "version": 2
  }
}