Pith Number

pith:4LLHYAKZ

pith:2011:4LLHYAKZ4LMWN7LT2HOTEXQWDD

not attested not anchored not stored refs pending

On the lifting problem in $\mathbb P^4$ in characteristic $p$

Paola Bonacini

arxiv:1109.1738 v1 · 2011-09-08 · 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{4LLHYAKZ4LMWN7LT2HOTEXQWDD}

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	2026-05-18T04:13:48.141549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d67c0159e2d966fd73d1dd325e1618f9ad4e9f98638a66ebc5e2aea02cf113

Aliases

arxiv: 1109.1738 · arxiv_version: 1109.1738v1 · doi: 10.48550/arxiv.1109.1738 · pith_short_12: 4LLHYAKZ4LMW · pith_short_16: 4LLHYAKZ4LMWN7LT · pith_short_8: 4LLHYAKZ

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/4LLHYAKZ4LMWN7LT2HOTEXQWDD \
  | 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: e2d67c0159e2d966fd73d1dd325e1618f9ad4e9f98638a66ebc5e2aea02cf113

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee50f2838921d050bc61382e1a16120cc5c87bff823a8a4669ef251daa65840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-08T15:06:26Z",
    "title_canon_sha256": "2d70bb7aee5d28594a26aac9026a770df3f02e983666c9b0f358a29706a2d280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1738",
    "kind": "arxiv",
    "version": 1
  }
}