Pith Number

pith:6S4EBP6K

pith:2014:6S4EBP6KSTFUCJED5SKRF733FC

not attested not anchored not stored refs pending

Dispersive Estimates for Scalar and Matrix Schr\"odinger operators on $\mathbb{H}^{n+1}$

David Borthwick, Jeremy L. Marzuola

arxiv:1410.8829 v4 · 2014-10-31 · 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{6S4EBP6KSTFUCJED5SKRF733FC}

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	2026-05-18T01:34:25.403874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4b840bfca94cb412483ec9512ff7b2888db3e773ec2862581533c8f8221d624

Aliases

arxiv: 1410.8829 · arxiv_version: 1410.8829v4 · doi: 10.48550/arxiv.1410.8829 · pith_short_12: 6S4EBP6KSTFU · pith_short_16: 6S4EBP6KSTFUCJED · pith_short_8: 6S4EBP6K

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/6S4EBP6KSTFUCJED5SKRF733FC \
  | 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: f4b840bfca94cb412483ec9512ff7b2888db3e773ec2862581533c8f8221d624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e27d221a248ac90540727fa18988a4dd7844331705e2d27c0751d920056acc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-31T18:00:33Z",
    "title_canon_sha256": "88a1443cd2ec93b48b734528c05df4e2d0217b7151a45d71985bd02035545d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8829",
    "kind": "arxiv",
    "version": 4
  }
}