Pith Number

pith:HCKLVKQ3

pith:2016:HCKLVKQ3EIMFIQSJSWRVK27KOO

not attested not anchored not stored refs pending

Normal bundles of rational curves in projective space

Eric Riedl, Izzet Coskun

arxiv:1607.06149 v2 · 2016-07-20 · 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{HCKLVKQ3EIMFIQSJSWRVK27KOO}

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.

Cited by

1 paper in Pith

Universal degeneracy classes for vector bundles on $\mathbb{P}^1$ bundles

Receipt and verification

First computed	2026-05-18T00:39:23.850281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3894baaa1b221854424995a3556bea7385f7393ea5364f4d4e5c4c9794625507

Aliases

arxiv: 1607.06149 · arxiv_version: 1607.06149v2 · doi: 10.48550/arxiv.1607.06149 · pith_short_12: HCKLVKQ3EIMF · pith_short_16: HCKLVKQ3EIMFIQSJ · pith_short_8: HCKLVKQ3

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/HCKLVKQ3EIMFIQSJSWRVK27KOO \
  | 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: 3894baaa1b221854424995a3556bea7385f7393ea5364f4d4e5c4c9794625507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf66a6371a87474308727eb27fa50df365d353361cc984893ae11cf02196a141",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-20T22:59:28Z",
    "title_canon_sha256": "10a006e65192b6c0f93ffd159a44df472d94e6c7057451801e39adba3d89bc85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06149",
    "kind": "arxiv",
    "version": 2
  }
}