Pith Number

pith:AOJ7DDT4

pith:2013:AOJ7DDT4A2L7C7QQVKSXXSTGSM

not attested not anchored not stored refs pending

Resonant time steps and instabilities in the numerical integration of Schr\"odinger equations

Erwan Faou, Tiphaine J\'ez\'equel

arxiv:1311.2099 v2 · 2013-11-08 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOJ7DDT4A2L7C7QQVKSXXSTGSM}

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	2026-05-18T03:06:44.096148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0393f18e7c0697f17e10aaa57bca66933db26b9a1159f60889ec13be40e9eefb

Aliases

arxiv: 1311.2099 · arxiv_version: 1311.2099v2 · doi: 10.48550/arxiv.1311.2099 · pith_short_12: AOJ7DDT4A2L7 · pith_short_16: AOJ7DDT4A2L7C7QQ · pith_short_8: AOJ7DDT4

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/AOJ7DDT4A2L7C7QQVKSXXSTGSM \
  | 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: 0393f18e7c0697f17e10aaa57bca66933db26b9a1159f60889ec13be40e9eefb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "630ccb46e7e491ed8833f7791a903ca07fe6af748c4f9a402952861c1d6a2090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-08T22:40:36Z",
    "title_canon_sha256": "b7cb454e642a65593066efcf7df8b6385e44504194c2ed5e58a15540229daff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2099",
    "kind": "arxiv",
    "version": 2
  }
}