Pith Number

pith:PIU72ZDD

pith:2016:PIU72ZDDKFITGKJEIBWTW7ZF62

not attested not anchored not stored refs pending

On Aharonov-Bohm operators with two colliding poles

Corentin Lena, Laura Abatangelo, Veronica Felli

arxiv:1612.04236 v1 · 2016-12-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIU72ZDDKFITGKJEIBWTW7ZF62}

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	2026-05-18T00:55:05.017877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a29fd64635151332924406d3b7f25f6bfff000d522ecb7dcd332b750be6f5ee

Aliases

arxiv: 1612.04236 · arxiv_version: 1612.04236v1 · doi: 10.48550/arxiv.1612.04236 · pith_short_12: PIU72ZDDKFIT · pith_short_16: PIU72ZDDKFITGKJE · pith_short_8: PIU72ZDD

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/PIU72ZDDKFITGKJEIBWTW7ZF62 \
  | 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: 7a29fd64635151332924406d3b7f25f6bfff000d522ecb7dcd332b750be6f5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b59eab390b6344f784dc9ded38edca80e46c8a6fcdc6e70d88a706bd9b64b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-13T15:41:58Z",
    "title_canon_sha256": "faa0b06d3bb3c42cdb99f78a5cb0e421d5fed14c126553150448507a13478277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04236",
    "kind": "arxiv",
    "version": 1
  }
}