pith. sign in
Pith Number

pith:23WELLVA

pith:2012:23WELLVASFJ2QEUEUW4ODEA66O
not attested not anchored not stored refs pending

Dispersive effects and high frequency behaviour for the Schr\"odinger equation in star-shaped networks

Felix Ali Mehmeti, Ka\"is Ammari, Serge Nicaise

arxiv:1204.4998 v2 · 2012-04-23 · 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{23WELLVASFJ2QEUEUW4ODEA66O}

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 2026-05-18T02:50:40.737533Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d6ec45aea09153a81284a5b8e1901ef3b349f96a7247bcac8eb20ff5ea78c2c8

Aliases

arxiv: 1204.4998 · arxiv_version: 1204.4998v2 · doi: 10.48550/arxiv.1204.4998 · pith_short_12: 23WELLVASFJ2 · pith_short_16: 23WELLVASFJ2QEUE · pith_short_8: 23WELLVA
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/23WELLVASFJ2QEUEUW4ODEA66O \
  | 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: d6ec45aea09153a81284a5b8e1901ef3b349f96a7247bcac8eb20ff5ea78c2c8
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "2b00bb6df509363c8af92c739600a4d0489ddb1570f554629bb327eee336f687",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-23T08:33:20Z",
    "title_canon_sha256": "a515ece14bf0042d2885f6d451666f17d6212c8a315cc6c9057decb8801dfb41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4998",
    "kind": "arxiv",
    "version": 2
  }
}