Pith Number

pith:FRM7DUUR

pith:2015:FRM7DUURO6N4G24PHQPEOIFXHB

not attested not anchored not stored refs pending

Quantum sheaf cohomology on Grassmannians

Eric Sharpe, Jirui Guo, Zhentao Lu

arxiv:1512.08586 v3 · 2015-12-29 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRM7DUURO6N4G24PHQPEOIFXHB}

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	2026-05-18T00:48:37.494451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c59f1d291779bc36b8f3c1e4720b7386ebdf23477fce644bc7604b8356dc8a5

Aliases

arxiv: 1512.08586 · arxiv_version: 1512.08586v3 · doi: 10.48550/arxiv.1512.08586 · pith_short_12: FRM7DUURO6N4 · pith_short_16: FRM7DUURO6N4G24P · pith_short_8: FRM7DUUR

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/FRM7DUURO6N4G24PHQPEOIFXHB \
  | 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: 2c59f1d291779bc36b8f3c1e4720b7386ebdf23477fce644bc7604b8356dc8a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec59518ebefbdb5b78f4aecdeee75f070956ccd928756ced5ee7d6b307b890f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-29T02:46:02Z",
    "title_canon_sha256": "576e2fb764e11ef54a2e8b34cac20cf740fefa390e86b656738a01db6d43d59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08586",
    "kind": "arxiv",
    "version": 3
  }
}