Pith Number

pith:NRAKFR4J

pith:2005:NRAKFR4JANHDVW4LUU4QQZUSB6

not attested not anchored not stored refs pending

Obstructions to deforming space curves and non-reduced components of the Hilbert scheme

Hirokazu Nasu

arxiv:math/0505413 v1 · 2005-05-19 · 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{NRAKFR4JANHDVW4LUU4QQZUSB6}

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	2026-05-18T01:21:45.635755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c40a2c789034e3adb8ba5390866920fbae6bf962746a97ff4a404e7e1b3b761

Aliases

arxiv: math/0505413 · arxiv_version: math/0505413v1 · doi: 10.48550/arxiv.math/0505413 · pith_short_12: NRAKFR4JANHD · pith_short_16: NRAKFR4JANHDVW4L · pith_short_8: NRAKFR4J

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/NRAKFR4JANHDVW4LUU4QQZUSB6 \
  | 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: 6c40a2c789034e3adb8ba5390866920fbae6bf962746a97ff4a404e7e1b3b761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c228d9738889ab3ed0fae99d6d6ef26b9d9469be858d706912d717acbda69535",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-05-19T11:02:06Z",
    "title_canon_sha256": "e62ab21eee4028f81fa912b66a615ed8d852c3280d3ec7831ceb00c5a3fc0996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505413",
    "kind": "arxiv",
    "version": 1
  }
}