Pith Number

pith:X54MAGBK

pith:2018:X54MAGBKXKSX5K352B5NYCI6LT

not attested not anchored not stored refs pending

The wobbly divisors of the moduli space of rank-$2$ vector bundles

Christian Pauly, Sarbeswar Pal

arxiv:1803.11315 v1 · 2018-03-30 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X54MAGBKXKSX5K352B5NYCI6LT}

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	2026-05-18T00:19:44.060208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf78c0182abaa57eab7dd07adc091e5cc939c2da968dfb25e0299a4973285d85

Aliases

arxiv: 1803.11315 · arxiv_version: 1803.11315v1 · doi: 10.48550/arxiv.1803.11315 · pith_short_12: X54MAGBKXKSX · pith_short_16: X54MAGBKXKSX5K35 · pith_short_8: X54MAGBK

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/X54MAGBKXKSX5K352B5NYCI6LT \
  | 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: bf78c0182abaa57eab7dd07adc091e5cc939c2da968dfb25e0299a4973285d85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db183420a868460262da6d96a7c240e0b4bbb3249eac0d86f25efd481b9a2a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-30T02:14:08Z",
    "title_canon_sha256": "d377de8f0bcab42582d2d7ceadab3c497454773b2ef4998fb2eef4d0567e584e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11315",
    "kind": "arxiv",
    "version": 1
  }
}