Pith Number

pith:4JXTM7Q4

pith:2012:4JXTM7Q43MSC2555EOPHX4YHQB

not attested not anchored not stored refs pending

Stable real K-theory and real topological Hochschild homology

Emanuele Dotto

arxiv:1212.4310 v1 · 2012-12-18 · 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{4JXTM7Q43MSC2555EOPHX4YHQB}

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	2026-05-18T03:38:13.343310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26f367e1cdb242d77bd239e7bf307807ae3d0e69bba3e143b45afef12310db4

Aliases

arxiv: 1212.4310 · arxiv_version: 1212.4310v1 · doi: 10.48550/arxiv.1212.4310 · pith_short_12: 4JXTM7Q43MSC · pith_short_16: 4JXTM7Q43MSC2555 · pith_short_8: 4JXTM7Q4

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/4JXTM7Q43MSC2555EOPHX4YHQB \
  | 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: e26f367e1cdb242d77bd239e7bf307807ae3d0e69bba3e143b45afef12310db4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aa0122c7c1c55e4706998a660874fab51fc098294e4bbd6976487d4090f669f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-18T11:17:16Z",
    "title_canon_sha256": "67f23fadd3ef8c302708208eb8c9706e3b94f61d831bd351d6e28e77637d4c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4310",
    "kind": "arxiv",
    "version": 1
  }
}