Pith Number

pith:TY6HPHEU

pith:2024:TY6HPHEUZL7WZ7OPIIZ5EMPCQR

not attested not anchored not stored refs pending

An Example Of Accurate Microlocal Tunneling In One Dimension

Antide Duraffour (IRMAR, LAREMA), Nicolas Raymond (UA, UR)

arxiv:2407.03747 v4 · 2024-07-04 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY6HPHEUZL7WZ7OPIIZ5EMPCQR}

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	2026-05-26T01:03:08.791070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3c779c94caff6cfdcf4233d231e2847c460f177c737683ce0a9f0698af7448

Aliases

arxiv: 2407.03747 · arxiv_version: 2407.03747v4 · doi: 10.48550/arxiv.2407.03747 · pith_short_12: TY6HPHEUZL7W · pith_short_16: TY6HPHEUZL7WZ7OP · pith_short_8: TY6HPHEU

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/TY6HPHEUZL7WZ7OPIIZ5EMPCQR \
  | 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: 9e3c779c94caff6cfdcf4233d231e2847c460f177c737683ce0a9f0698af7448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add0d88dabc75be6b543e5dc1d483dad2bb1ae78bc7cadc4801be1fb61b3a4c6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-04T08:58:12Z",
    "title_canon_sha256": "778c2c7959d83d4488d87c60d63e540dd7a23f12ddfaa6827541a161af41d6e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.03747",
    "kind": "arxiv",
    "version": 4
  }
}