Pith Number

pith:VVXERFUI

pith:2017:VVXERFUIKHJC4SHB5QWBUFLJIT

not attested not anchored not stored refs pending

Arakelov Self-intersection numbers of minimal regular models of modular curves $X_0(p^2)$

Chitrabhanu Chaudhuri, Debargha Banerjee, Diganta Borah

arxiv:1710.10915 v3 · 2017-10-30 · 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{VVXERFUIKHJC4SHB5QWBUFLJIT}

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	2026-07-05T02:28:14.817553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6e48968851d22e48e1ec2c1a156944fc72edbc33ced9c48e30b6b699adbb55

Aliases

arxiv: 1710.10915 · arxiv_version: 1710.10915v3 · doi: 10.48550/arxiv.1710.10915 · pith_short_12: VVXERFUIKHJC · pith_short_16: VVXERFUIKHJC4SHB · pith_short_8: VVXERFUI

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/VVXERFUIKHJC4SHB5QWBUFLJIT \
  | 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: ad6e48968851d22e48e1ec2c1a156944fc72edbc33ced9c48e30b6b699adbb55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f96bf425d513b4bf83c62f09129338ab4030e48a331d856aa4f8cd2d8a45f6fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-30T12:59:15Z",
    "title_canon_sha256": "132c004b9ceb05e5655d0c6178648e8e8732b65752a970e3e4c32dc66194eb73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10915",
    "kind": "arxiv",
    "version": 3
  }
}