Pith Number

pith:HBDRHW45

pith:2009:HBDRHW45NLPBAIEG2XLC4NCDRV

not attested not anchored not stored refs pending

Constraint condition on transformed relation for generalized acoustics

Gengkai Hu, Jin Hu, Xiaoning Liu

arxiv:0912.5462 v6 · 2009-12-30 · physics.optics · physics.class-ph · physics.gen-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{HBDRHW45NLPBAIEG2XLC4NCDRV}

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	2026-05-18T03:34:36.070759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384713db9d6ade102086d5d62e34438d71af69206d27442c0bb2ae329c598afd

Aliases

arxiv: 0912.5462 · arxiv_version: 0912.5462v6 · doi: 10.48550/arxiv.0912.5462 · pith_short_12: HBDRHW45NLPB · pith_short_16: HBDRHW45NLPBAIEG · pith_short_8: HBDRHW45

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/HBDRHW45NLPBAIEG2XLC4NCDRV \
  | 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: 384713db9d6ade102086d5d62e34438d71af69206d27442c0bb2ae329c598afd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79b91239a1413e7b48d8653da2f744764ea67b7c53f38851424e0cfefa3ae31",
    "cross_cats_sorted": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-12-30T13:45:09Z",
    "title_canon_sha256": "3cffd4f7e60c25689690d5ed3b33bcc46cf2f8c96daf7ac9c2772a4e9ad8e09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5462",
    "kind": "arxiv",
    "version": 6
  }
}