Pith Number

pith:BCXWJKVK

pith:2012:BCXWJKVK77WCNDMNUMSZLUXPQS

not attested not anchored not stored refs pending

Wave propagation in one-dimension: Methods and applications to complex and fractal structures

Eli Levy, Eric Akkermans, Gerald Dunne

arxiv:1210.7409 v2 · 2012-10-28 · 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{BCXWJKVK77WCNDMNUMSZLUXPQS}

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	2026-05-18T03:41:43.493566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08af64aaaaffec268d8da32595d2ef84938db139846c65450caa962cf2a318cd

Aliases

arxiv: 1210.7409 · arxiv_version: 1210.7409v2 · doi: 10.48550/arxiv.1210.7409 · pith_short_12: BCXWJKVK77WC · pith_short_16: BCXWJKVK77WCNDMN · pith_short_8: BCXWJKVK

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/BCXWJKVK77WCNDMNUMSZLUXPQS \
  | 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: 08af64aaaaffec268d8da32595d2ef84938db139846c65450caa962cf2a318cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35b53211232306aed58dce95b82388e1682b5bdc594ab0e6886bee0e5ee427db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-10-28T06:32:43Z",
    "title_canon_sha256": "597002de0b2de1c51811e84452a3e0e6872ae433f00b823231022cff58833241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7409",
    "kind": "arxiv",
    "version": 2
  }
}