Pith Number

pith:R63QRRO5

pith:2015:R63QRRO52EB7QBMQZVJLWGE5UK

not attested not anchored not stored refs pending

Permutation-equivariant quantum K-theory III. Lefschetz' formula on $\overline{M}_{0,n}/S_n$ and adelic characterization

Alexander Givental

arxiv:1508.06697 v1 · 2015-08-27 · 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{R63QRRO52EB7QBMQZVJLWGE5UK}

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	2026-05-18T01:34:41.347608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb708c5ddd103f80590cd52bb189da290ec41a1b923b574629f219d78734e6e

Aliases

arxiv: 1508.06697 · arxiv_version: 1508.06697v1 · doi: 10.48550/arxiv.1508.06697 · pith_short_12: R63QRRO52EB7 · pith_short_16: R63QRRO52EB7QBMQ · pith_short_8: R63QRRO5

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/R63QRRO52EB7QBMQZVJLWGE5UK \
  | 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: 8fb708c5ddd103f80590cd52bb189da290ec41a1b923b574629f219d78734e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38b1a60e4138f7d6b5b11a10d2f54ce640ce5a40f6602b9bdcf402bc324fa1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-27T01:25:08Z",
    "title_canon_sha256": "4e3e703fa517a972eb1de55b9cc6bdf8840d79c59fe935cda77e08f533a255e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06697",
    "kind": "arxiv",
    "version": 1
  }
}