Pith Number

pith:7ZUKTOBD

pith:2016:7ZUKTOBD22BMR7TGFOCWGEKSFI

not attested not anchored not stored refs pending

Dispersive estimates for the Dirac equation in an Aharonov-Bohm field

Federico Cacciafesta, Luca Fanelli

arxiv:1612.09586 v1 · 2016-12-30 · 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{7ZUKTOBD22BMR7TGFOCWGEKSFI}

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	2026-05-18T00:53:41.160585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe68a9b823d682c8fe662b856311522a39bef13750f796c2806a239af38dfd21

Aliases

arxiv: 1612.09586 · arxiv_version: 1612.09586v1 · doi: 10.48550/arxiv.1612.09586 · pith_short_12: 7ZUKTOBD22BM · pith_short_16: 7ZUKTOBD22BMR7TG · pith_short_8: 7ZUKTOBD

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/7ZUKTOBD22BMR7TGFOCWGEKSFI \
  | 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: fe68a9b823d682c8fe662b856311522a39bef13750f796c2806a239af38dfd21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763a68f7b47633e2c513d277da7337f10411d389ad44a1588a4c963b078bf9bd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-30T20:19:31Z",
    "title_canon_sha256": "ad6f3d4b6837744c1d607477eb164a80ad3c2d0d2cfcb4afe5b18b488315181e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09586",
    "kind": "arxiv",
    "version": 1
  }
}