Pith Number

pith:OJFDB5DJ

pith:2022:OJFDB5DJAW5AUPU2MMB6Y75VCG

not attested not anchored not stored refs pending

Adjunction of roots, algebraic $K$-theory and chromatic redshift

Christian Ausoni, Haldun \"Ozg\"ur Bay{\i}nd{\i}r, Tasos Moulinos

arxiv:2211.16929 v2 · 2022-11-30 · math.AT · 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{OJFDB5DJAW5AUPU2MMB6Y75VCG}

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	2026-07-05T07:03:19.619923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

724a30f46905ba0a3e9a6303ec7fb511936f53587529ce0e0f1aa52ca8ac149f

Aliases

arxiv: 2211.16929 · arxiv_version: 2211.16929v2 · doi: 10.48550/arxiv.2211.16929 · pith_short_12: OJFDB5DJAW5A · pith_short_16: OJFDB5DJAW5AUPU2 · pith_short_8: OJFDB5DJ

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/OJFDB5DJAW5AUPU2MMB6Y75VCG \
  | 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: 724a30f46905ba0a3e9a6303ec7fb511936f53587529ce0e0f1aa52ca8ac149f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fae3979aa0b3ff54af234a5c1799de800e7e9ec7390e12682c9c8076de308c9",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-11-30T11:59:20Z",
    "title_canon_sha256": "257ae85c7c0e806248af8a398c5e5fea5965d9f35cfaff8317df7569fbb9d92b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.16929",
    "kind": "arxiv",
    "version": 2
  }
}