Pith Number

pith:VIJ5NZY3

pith:2015:VIJ5NZY36OTURJLPWH74HQR5OD

not attested not anchored not stored refs pending

Graph Laplacians, component groups and Drinfeld modular curves

Mihran Papikian

arxiv:1505.06860 v3 · 2015-05-26 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIJ5NZY36OTURJLPWH74HQR5OD}

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	2026-05-18T00:54:09.104173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa13d6e71bf3a748a56fb1ffc3c23d70d4b9458927bb21aaffbe66adc9437703

Aliases

arxiv: 1505.06860 · arxiv_version: 1505.06860v3 · doi: 10.48550/arxiv.1505.06860 · pith_short_12: VIJ5NZY36OTU · pith_short_16: VIJ5NZY36OTURJLP · pith_short_8: VIJ5NZY3

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/VIJ5NZY36OTURJLPWH74HQR5OD \
  | 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: aa13d6e71bf3a748a56fb1ffc3c23d70d4b9458927bb21aaffbe66adc9437703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8af4b77170a2d0b1e84c5f0d2b074074ebe6061ebe633be6d36a54bc3a779c3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-26T08:58:20Z",
    "title_canon_sha256": "c790ef74999b10a6546dbf64e9916e680e193e7420b9e43138c8a7a837c1e45a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06860",
    "kind": "arxiv",
    "version": 3
  }
}