Pith Number

pith:LT7636ET

pith:2019:LT7636ET34COXAWS5WV25RMB65

not attested not anchored not stored refs pending

Positivity determines the quantum cohomology of Grassmannians

Anders S. Buch, Chengxi Wang

arxiv:1905.05723 v1 · 2019-05-14 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LT7636ET34COXAWS5WV25RMB65}

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	2026-05-17T23:46:13.733150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cffedf893df04eb82d2edabaec581f7672af1d494d21552e0580a387144b6de

Aliases

arxiv: 1905.05723 · arxiv_version: 1905.05723v1 · doi: 10.48550/arxiv.1905.05723 · pith_short_12: LT7636ET34CO · pith_short_16: LT7636ET34COXAWS · pith_short_8: LT7636ET

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/LT7636ET34COXAWS5WV25RMB65 \
  | 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: 5cffedf893df04eb82d2edabaec581f7672af1d494d21552e0580a387144b6de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e785256ee6c966d3bcadae9951c76dd7a45cfdd4ca740e9b29a0257924d0120",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-14T17:12:07Z",
    "title_canon_sha256": "8bd6ef61548596b59a2be78a823bf12c143f94680ee3e2db2addb2f73b636686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05723",
    "kind": "arxiv",
    "version": 1
  }
}