Pith Number

pith:4FMNCEO3

pith:2013:4FMNCEO3YBRHX2EW6MQSIA2XKC

not attested not anchored not stored refs pending

Dispersion estimates for 1D discrete equations

E. Kopylova

arxiv:1310.8518 v2 · 2013-10-30 · 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{4FMNCEO3YBRHX2EW6MQSIA2XKC}

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	2026-05-18T02:43:54.213692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e158d111dbc0627be896f321240357509b93a19a591d3a04cdbbbe18f2ab447c

Aliases

arxiv: 1310.8518 · arxiv_version: 1310.8518v2 · doi: 10.48550/arxiv.1310.8518 · pith_short_12: 4FMNCEO3YBRH · pith_short_16: 4FMNCEO3YBRHX2EW · pith_short_8: 4FMNCEO3

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/4FMNCEO3YBRHX2EW6MQSIA2XKC \
  | 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: e158d111dbc0627be896f321240357509b93a19a591d3a04cdbbbe18f2ab447c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2507939d11d0ad91ff8e72cb2d97c5dc7f9981e85bb1f4afff8d0c916558e9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-30T18:50:04Z",
    "title_canon_sha256": "ede344668d4cd02ec6bb37b6a006dbc20cf429bbcd151ab934c66a8634b98ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8518",
    "kind": "arxiv",
    "version": 2
  }
}