Pith Number

pith:G6SJ4ELY

pith:2015:G6SJ4ELYWQY53IFNYIEHJOKRTQ

not attested not anchored not stored refs pending

Permutation-equivariant quantum K-theory I. Definitions. Elementary K-theory of $\overline{\mathcal M}_{0,n}/S_n$

Alexander Givental

arxiv:1508.02690 v1 · 2015-08-11 · 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{G6SJ4ELYWQY53IFNYIEHJOKRTQ}

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	2026-05-18T01:35:28.521029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37a49e1178b431dda0adc20874b9519c2704247a0e1f49a1a88dc04ad486e886

Aliases

arxiv: 1508.02690 · arxiv_version: 1508.02690v1 · doi: 10.48550/arxiv.1508.02690 · pith_short_12: G6SJ4ELYWQY5 · pith_short_16: G6SJ4ELYWQY53IFN · pith_short_8: G6SJ4ELY

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/G6SJ4ELYWQY53IFNYIEHJOKRTQ \
  | 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: 37a49e1178b431dda0adc20874b9519c2704247a0e1f49a1a88dc04ad486e886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c02037eb2f7f016ff41740267df0bcd5601b982841db14bd211ba84c2517cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-11T19:02:52Z",
    "title_canon_sha256": "eb65388116fcb9762b60dae0036169e0fccd6d33d2ec3cd0120201a5de8ae618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02690",
    "kind": "arxiv",
    "version": 1
  }
}