Pith Number

pith:L2XCDRGP

pith:2025:L2XCDRGP5GCYJGTIRMAJUFV75G

not attested not anchored not stored refs pending

Realization of Cohomology Classes in Grassmannians

Izzet Coskun, Julius Ross

arxiv:2509.03747 v1 · 2025-09-03 · 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{L2XCDRGP5GCYJGTIRMAJUFV75G}

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	2026-07-05T12:04:45.175335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eae21c4cfe985849a688b009a16bfe9a378854f6d82bd3692cdd386f847db54

Aliases

arxiv: 2509.03747 · arxiv_version: 2509.03747v1 · doi: 10.48550/arxiv.2509.03747 · pith_short_12: L2XCDRGP5GCY · pith_short_16: L2XCDRGP5GCYJGTI · pith_short_8: L2XCDRGP

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/L2XCDRGP5GCYJGTIRMAJUFV75G \
  | 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: 5eae21c4cfe985849a688b009a16bfe9a378854f6d82bd3692cdd386f847db54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d7c5d7a1e21b3b2e4bde5a43a0f84b2b46df945682d0f296c47ecde1335edcb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-03T22:18:40Z",
    "title_canon_sha256": "3173220c7e3e86cb71c46f3803a82637570ae6fcf7d3be5b463bc77e0b0508b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03747",
    "kind": "arxiv",
    "version": 1
  }
}