Pith Number

pith:5RJG37ZL

pith:2010:5RJG37ZLCQ6L2AV6ISURKWJ7JX

not attested not anchored not stored refs pending

Exponentially Accurate Semiclassical Tunneling Wave Functions in One Dimension

Alain Joye, George A. Hagedorn, Vasile Gradinaru

arxiv:1003.3280 v1 · 2010-03-17 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RJG37ZLCQ6L2AV6ISURKWJ7JX}

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	2026-05-18T02:08:26.606131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec526dff2b143cbd02be44a915593f4dc5cc6a9846efb5739f2c737ea161d492

Aliases

arxiv: 1003.3280 · arxiv_version: 1003.3280v1 · doi: 10.48550/arxiv.1003.3280 · pith_short_12: 5RJG37ZLCQ6L · pith_short_16: 5RJG37ZLCQ6L2AV6 · pith_short_8: 5RJG37ZL

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/5RJG37ZLCQ6L2AV6ISURKWJ7JX \
  | 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: ec526dff2b143cbd02be44a915593f4dc5cc6a9846efb5739f2c737ea161d492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89dd52a3f7e7ef7a93c45391c02c680d5f019270419b255b2d17d16256fc5eeb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-17T02:29:11Z",
    "title_canon_sha256": "c20f9aa0157c5239a7c374d99d7b56951a827982d8a430b1227138cf17e1a10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3280",
    "kind": "arxiv",
    "version": 1
  }
}