Pith Number

pith:MOQ6IQRQ

pith:2015:MOQ6IQRQ5TWC44YO423XUFIIYR

not attested not anchored not stored refs pending

Measures of irrationality for hypersurfaces of large degree

Brooke Ullery, Francesco Bastianelli, Lawrence Ein, Pietro De Poi, Robert Lazarsfeld

arxiv:1511.01359 v2 · 2015-11-04 · 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{MOQ6IQRQ5TWC44YO423XUFIIYR}

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	2026-05-17T23:53:13.521009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63a1e44230ecec2e730ee6b77a1508c478b9739879f3a881ec84c99d36356112

Aliases

arxiv: 1511.01359 · arxiv_version: 1511.01359v2 · doi: 10.48550/arxiv.1511.01359 · pith_short_12: MOQ6IQRQ5TWC · pith_short_16: MOQ6IQRQ5TWC44YO · pith_short_8: MOQ6IQRQ

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/MOQ6IQRQ5TWC44YO423XUFIIYR \
  | 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: 63a1e44230ecec2e730ee6b77a1508c478b9739879f3a881ec84c99d36356112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9dfaf7e036be36060c9119f846ba4a23022bfc3fe6fa2e0cb6f875cbd4337ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-04T14:50:30Z",
    "title_canon_sha256": "fc10e740e4fb04838c7a179113344ab33597ae6877596d962a604b12f760117c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01359",
    "kind": "arxiv",
    "version": 2
  }
}