Pith Number

pith:MYDLJQH5

pith:2015:MYDLJQH5VTHTIJV4EEU2L5JZRP

not attested not anchored not stored refs pending

Permutation-equivariant quantum K-theory VI. Mirrors

Alexander Givental

arxiv:1509.07852 v1 · 2015-09-25 · 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{MYDLJQH5VTHTIJV4EEU2L5JZRP}

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	2026-05-18T01:32:01.815902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6606b4c0fdaccf3426bc2129a5f5398bd28c114223513c98eb1e1fa20614f857

Aliases

arxiv: 1509.07852 · arxiv_version: 1509.07852v1 · doi: 10.48550/arxiv.1509.07852 · pith_short_12: MYDLJQH5VTHT · pith_short_16: MYDLJQH5VTHTIJV4 · pith_short_8: MYDLJQH5

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/MYDLJQH5VTHTIJV4EEU2L5JZRP \
  | 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: 6606b4c0fdaccf3426bc2129a5f5398bd28c114223513c98eb1e1fa20614f857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e454ff82b749e4e99d048090c15382fe7e6710a7b78048e86fc0f8fee937a60a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-25T19:40:35Z",
    "title_canon_sha256": "eadb46c233f3b64b7f0841af3f5b2c8ae51394327bfd3f53da373e7e76dd1d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07852",
    "kind": "arxiv",
    "version": 1
  }
}