Pith Number

pith:BMQ4F3H7

pith:2012:BMQ4F3H7WHAJZABQ545XAP54SD

not attested not anchored not stored refs pending

Group-Theoretical Derivation of Aharonov-Bohm Phase Shifts

C. R. Hagen

arxiv:1211.3971 v1 · 2012-11-16 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMQ4F3H7WHAJZABQ545XAP54SD}

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	2026-05-18T01:53:10.287477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b21c2ecffb1c09c8030ef3b703fbc90d4ef426cdeabbfacd6aafe1a0aaa0e05

Aliases

arxiv: 1211.3971 · arxiv_version: 1211.3971v1 · doi: 10.48550/arxiv.1211.3971 · pith_short_12: BMQ4F3H7WHAJ · pith_short_16: BMQ4F3H7WHAJZABQ · pith_short_8: BMQ4F3H7

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/BMQ4F3H7WHAJZABQ545XAP54SD \
  | 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: 0b21c2ecffb1c09c8030ef3b703fbc90d4ef426cdeabbfacd6aafe1a0aaa0e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d36c0a20b797d4f6722ec2104b8e8c94132e722f71f3dd9734438a04c4cb03",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-16T17:57:07Z",
    "title_canon_sha256": "f9e55aca38fa6f274daf1deed484fca36adcff8cc6dcc49aee80389796da9b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3971",
    "kind": "arxiv",
    "version": 1
  }
}