Pith Number

pith:PGDENP5U

pith:2015:PGDENP5UKXYTL6TIKIK52EGNTX

not attested not anchored not stored refs pending

Stable operations and cooperations in derived Witt theory with rational coefficients

Alexey Ananyevskiy

arxiv:1504.04848 v3 · 2015-04-19 · math.KT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGDENP5UKXYTL6TIKIK52EGNTX}

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	2026-05-18T00:21:00.497182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798646bfb455f135fa685215dd10cd9dfa0950fe18e2dab82b3efc3a9322423e

Aliases

arxiv: 1504.04848 · arxiv_version: 1504.04848v3 · doi: 10.48550/arxiv.1504.04848 · pith_short_12: PGDENP5UKXYT · pith_short_16: PGDENP5UKXYTL6TI · pith_short_8: PGDENP5U

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/PGDENP5UKXYTL6TIKIK52EGNTX \
  | 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: 798646bfb455f135fa685215dd10cd9dfa0950fe18e2dab82b3efc3a9322423e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ddd777f63a50063c43cf6c897c59aa31cd4109aff31546ca7716eb6c5c2db7c",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-04-19T16:32:52Z",
    "title_canon_sha256": "e53788693119de78aa5ca67c2d67a1a28fa84baebba399f997f385bc1edb32e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04848",
    "kind": "arxiv",
    "version": 3
  }
}