Pith Number

pith:OBDJKAJQ

pith:2019:OBDJKAJQA53XGEET66NM3HJER4

not attested not anchored not stored refs pending

Bounds on the Dimension of the Brill-Noether Schemes of Rank Two Bundles

Ali Bajravani

arxiv:1906.09177 v1 · 2019-06-21 · 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{OBDJKAJQA53XGEET66NM3HJER4}

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	2026-05-17T23:42:44.290346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70469501300777731093f79acd9d248f0b301a60b519d35ec2dbbbb52983ec7b

Aliases

arxiv: 1906.09177 · arxiv_version: 1906.09177v1 · doi: 10.48550/arxiv.1906.09177 · pith_short_12: OBDJKAJQA53X · pith_short_16: OBDJKAJQA53XGEET · pith_short_8: OBDJKAJQ

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/OBDJKAJQA53XGEET66NM3HJER4 \
  | 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: 70469501300777731093f79acd9d248f0b301a60b519d35ec2dbbbb52983ec7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c0895cc5f9bad826380331b99cbdb8649f37a9ab5a13d909c3c5b35523d4769",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-21T14:56:31Z",
    "title_canon_sha256": "6d41e71c1f2b7a1e34b4bcc59c0cd88601c1fad1d8434ad9ac8d92d6f7bf3713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09177",
    "kind": "arxiv",
    "version": 1
  }
}