Pith Number

pith:LYSM6YXD

pith:2016:LYSM6YXDZQEZBBMEUKQJIHZNVE

not attested not anchored not stored refs pending

Tangent bundle of $\PP^2$ and morphism from $\PP^2$ to $\text{Gr}(2, \CC^{4})$

A. El Mazouni, D.S. Nagaraj

arxiv:1605.06234 v1 · 2016-05-20 · 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{LYSM6YXDZQEZBBMEUKQJIHZNVE}

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	2026-05-18T01:14:19.522255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e24cf62e3cc09908584a2a0941f2da9082dacadfcc8ab7777834b32f20481c9

Aliases

arxiv: 1605.06234 · arxiv_version: 1605.06234v1 · doi: 10.48550/arxiv.1605.06234 · pith_short_12: LYSM6YXDZQEZ · pith_short_16: LYSM6YXDZQEZBBME · pith_short_8: LYSM6YXD

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/LYSM6YXDZQEZBBMEUKQJIHZNVE \
  | 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: 5e24cf62e3cc09908584a2a0941f2da9082dacadfcc8ab7777834b32f20481c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73acad377b7f3626297087f8be7125fab673ef6f150ac1df873d15525589e268",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-20T07:41:43Z",
    "title_canon_sha256": "fbb95a87d2c693f9c8da69e466447c2ba22f4513cb633199ac07844ba6a96465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06234",
    "kind": "arxiv",
    "version": 1
  }
}