Pith Number

pith:FMT3HJGY

pith:2010:FMT3HJGY5UXCECLMGF2Q5FFING

not attested not anchored not stored refs pending

Multiple tunnel effect for dispersive waves on a star-shaped network: an explicit formula for the spectral representation

Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie R\'egnier

arxiv:1012.3068 v1 · 2010-12-14 · 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{FMT3HJGY5UXCECLMGF2Q5FFING}

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	2026-05-18T04:33:18.719822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b27b3a4d8ed2e22096c31750e94a869bf7012acfc6934de7c0abde3dcb9f8a4

Aliases

arxiv: 1012.3068 · arxiv_version: 1012.3068v1 · doi: 10.48550/arxiv.1012.3068 · pith_short_12: FMT3HJGY5UXC · pith_short_16: FMT3HJGY5UXCECLM · pith_short_8: FMT3HJGY

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/FMT3HJGY5UXCECLMGF2Q5FFING \
  | 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: 2b27b3a4d8ed2e22096c31750e94a869bf7012acfc6934de7c0abde3dcb9f8a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b6efbaed46e3c1191e36f3fe0c2bbda4a9a75466c0b1e09cc9267080324c43a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-14T16:07:03Z",
    "title_canon_sha256": "a2e38b73fbaf896ea4808ea7ef5f0a27c816d09b64979d110208444a46a28c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3068",
    "kind": "arxiv",
    "version": 1
  }
}