Pith Number

pith:5YNYW4FA

pith:2012:5YNYW4FACSEBPLLKSNGT5FOT6F

not attested not anchored not stored refs pending

Completion theorem for equivariant $K$-theory

Amalendu Krishna

arxiv:1201.5766 v2 · 2012-01-27 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YNYW4FACSEBPLLKSNGT5FOT6F}

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	2026-05-18T01:26:58.744540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee1b8b70a0148817ad6a934d3e95d3f17264bb4d3fbe581926a874892bad37a1

Aliases

arxiv: 1201.5766 · arxiv_version: 1201.5766v2 · doi: 10.48550/arxiv.1201.5766 · pith_short_12: 5YNYW4FACSEB · pith_short_16: 5YNYW4FACSEBPLLK · pith_short_8: 5YNYW4FA

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/5YNYW4FACSEBPLLKSNGT5FOT6F \
  | 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: ee1b8b70a0148817ad6a934d3e95d3f17264bb4d3fbe581926a874892bad37a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f60030233c946531bfa0de16316d9c406e91eb699de5106ad717d4e4f7f81a4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-27T13:06:11Z",
    "title_canon_sha256": "58061b61c466e8b2ffa9d8a4a0d5d0225b761fd76281999aab660fe3bb06cb73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5766",
    "kind": "arxiv",
    "version": 2
  }
}