Pith Number

pith:7NG3DD7B

pith:2012:7NG3DD7B5CATX67FKJR4NW3OCA

not attested not anchored not stored refs pending

Dispersion for 1-d Scrodinger and wave equation with BV coefficients

Constantin N. Beli, E. Zuazua, L. Ignat

arxiv:1210.7415 v2 · 2012-10-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NG3DD7B5CATX67FKJR4NW3OCA}

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	2026-05-18T02:18:22.352044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4db18fe1e8813bfbe55263c6db6e1037b30f6c00a2db92093e2f69c95b092f

Aliases

arxiv: 1210.7415 · arxiv_version: 1210.7415v2 · doi: 10.48550/arxiv.1210.7415 · pith_short_12: 7NG3DD7B5CAT · pith_short_16: 7NG3DD7B5CATX67F · pith_short_8: 7NG3DD7B

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/7NG3DD7B5CATX67FKJR4NW3OCA \
  | 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: fb4db18fe1e8813bfbe55263c6db6e1037b30f6c00a2db92093e2f69c95b092f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21969b2b60881eeac0fbacd5a09ba57be058a07fa27c45216d018362c07fba52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-28T07:31:21Z",
    "title_canon_sha256": "c9aa8b7666e1d45e5f95ab5506ec3c29d9e80a5d5d3e6a06602f6efedd5d9682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7415",
    "kind": "arxiv",
    "version": 2
  }
}