Pith Number

pith:ZWU3KNK4

pith:2026:ZWU3KNK4ZEGJ2MRIZOFXU2YGMI

not attested not anchored not stored refs pending

Positive Cones of Parabolic Grassmann Bundle over a curve

Ashima Bansal, Shivam Vats

arxiv:2607.02080 v1 · 2026-07-02 · 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{ZWU3KNK4ZEGJ2MRIZOFXU2YGMI}

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	2026-07-03T01:17:41.616980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda9b5355cc90c9d3228cb8b7a6b0662363379f497d69b517cebff08eabbe5b9

Aliases

arxiv: 2607.02080 · arxiv_version: 2607.02080v1 · doi: 10.48550/arxiv.2607.02080 · pith_short_12: ZWU3KNK4ZEGJ · pith_short_16: ZWU3KNK4ZEGJ2MRI · pith_short_8: ZWU3KNK4

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/ZWU3KNK4ZEGJ2MRIZOFXU2YGMI \
  | 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: cda9b5355cc90c9d3228cb8b7a6b0662363379f497d69b517cebff08eabbe5b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77476b6555e795d0be284d8c6398276d62323fb0cf3a6c3e37f965f046d895fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-02T12:24:03Z",
    "title_canon_sha256": "5ddeb0aad3b5fb7eb0ac4cda1282b917eab9797f2121465c4c9158a88dd0f0cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02080",
    "kind": "arxiv",
    "version": 1
  }
}