Pith Number

pith:CEKMG25T

pith:2011:CEKMG25T6ERL5RO46GES35KX4G

not attested not anchored not stored refs pending

Generalized free time-dependent Schr\"odinger equation with initial data in Fourier Lebesgue spaces

Karoline Johansson

arxiv:1102.2998 v1 · 2011-02-15 · 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{CEKMG25T6ERL5RO46GES35KX4G}

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	2026-05-18T04:28:38.572005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1114c36bb3f122bec5dcf1892df557e1baea50e6699ad5a56d8bf7c9bb9fe878

Aliases

arxiv: 1102.2998 · arxiv_version: 1102.2998v1 · doi: 10.48550/arxiv.1102.2998 · pith_short_12: CEKMG25T6ERL · pith_short_16: CEKMG25T6ERL5RO4 · pith_short_8: CEKMG25T

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/CEKMG25T6ERL5RO46GES35KX4G \
  | 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: 1114c36bb3f122bec5dcf1892df557e1baea50e6699ad5a56d8bf7c9bb9fe878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cee67d42588cceb2b1d4bb105c7f649e0a37042a0bb71eb0ea27848022df3bc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-15T08:46:03Z",
    "title_canon_sha256": "05e159ef90b929092e41fa7a0bd51442afdcdaee1953010b15af8bea5a80629e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2998",
    "kind": "arxiv",
    "version": 1
  }
}