Pith Number

pith:32C3ZRG5

pith:2018:32C3ZRG5K4Z5OIOEENRUWCMRH6

not attested not anchored not stored refs pending

Rank two sheaves with maximal third Chern character in three-dimensional projective space

Benjamin Schmidt

arxiv:1811.11951 v1 · 2018-11-29 · 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{32C3ZRG5K4Z5OIOEENRUWCMRH6}

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	2026-05-17T23:59:35.011793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de85bcc4dd5733d721c423634b09913fb632195d1dab2551945d75ceb2414be5

Aliases

arxiv: 1811.11951 · arxiv_version: 1811.11951v1 · doi: 10.48550/arxiv.1811.11951 · pith_short_12: 32C3ZRG5K4Z5 · pith_short_16: 32C3ZRG5K4Z5OIOE · pith_short_8: 32C3ZRG5

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/32C3ZRG5K4Z5OIOEENRUWCMRH6 \
  | 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: de85bcc4dd5733d721c423634b09913fb632195d1dab2551945d75ceb2414be5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040855282b9c72112124812dc597d76e631c4ed5726ef972e91e8872b2341fbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-29T04:04:35Z",
    "title_canon_sha256": "2b9e74d70ab51cf6be3140d74bbfea9e728ba9f043dcd37cff1f488c9379456c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11951",
    "kind": "arxiv",
    "version": 1
  }
}