Pith Number

pith:HM76KX54

pith:2016:HM76KX54RCCPM7XJTC6ZEROYLW

not attested not anchored not stored refs pending

On varieties with trivial tangent bundle

Kirti Joshi

arxiv:1603.09413 v1 · 2016-03-30 · 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{HM76KX54RCCPM7XJTC6ZEROYLW}

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

Projective and affine structures in positive characteristic I: Chern class formulas and Characterizations of projective spaces

Receipt and verification

First computed	2026-07-05T01:56:54.035714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3fe55fbc8884f67ee998bd9245d85d96dec95c1f27ae1521007b9b24fa64a6

Aliases

arxiv: 1603.09413 · arxiv_version: 1603.09413v1 · doi: 10.48550/arxiv.1603.09413 · pith_short_12: HM76KX54RCCP · pith_short_16: HM76KX54RCCPM7XJ · pith_short_8: HM76KX54

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/HM76KX54RCCPM7XJTC6ZEROYLW \
  | 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: 3b3fe55fbc8884f67ee998bd9245d85d96dec95c1f27ae1521007b9b24fa64a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e09c73973335805e7e61b1773bc85c93b1a59f294a4482c70f5bbaf851dc82d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-30T23:29:05Z",
    "title_canon_sha256": "03e769e1c9e0156972ce49e4ad84f7f2f9adf716031d406c05047b2f4874a74a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09413",
    "kind": "arxiv",
    "version": 1
  }
}