Pith Number

pith:7MQJCCG2

pith:2020:7MQJCCG2JCKWL7YVE4ZKPJ57ES

not attested not anchored not stored refs pending

Diffraction of the Aharonov-Bohm Hamiltonian

Mengxuan Yang

arxiv:2008.04129 v2 · 2020-08-10 · math.AP · 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{7MQJCCG2JCKWL7YVE4ZKPJ57ES}

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	2026-07-05T02:48:17.803954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb209108da489565ff152732a7a7bf24a20f7e2d76f1d7eabdd85e88df9d1ad9

Aliases

arxiv: 2008.04129 · arxiv_version: 2008.04129v2 · doi: 10.48550/arxiv.2008.04129 · pith_short_12: 7MQJCCG2JCKW · pith_short_16: 7MQJCCG2JCKWL7YV · pith_short_8: 7MQJCCG2

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/7MQJCCG2JCKWL7YVE4ZKPJ57ES \
  | 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: fb209108da489565ff152732a7a7bf24a20f7e2d76f1d7eabdd85e88df9d1ad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785b783fffeabfe3dc96c8bc2ba1ef0e133809f5dcd80eb5ec90377050e145a3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-08-10T13:41:37Z",
    "title_canon_sha256": "051d8de461f4362a7db3807529bbc41db86e463010fae5a5cd573233edf731f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.04129",
    "kind": "arxiv",
    "version": 2
  }
}