Pith Number

pith:YJ7IBSN2

pith:2012:YJ7IBSN2XVEYQMZZZ7DXBBIGUS

not attested not anchored not stored refs pending

Logarithmic structures on topological K-theory spectra

Steffen Sagave

arxiv:1204.0699 v3 · 2012-04-03 · 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{YJ7IBSN2XVEYQMZZZ7DXBBIGUS}

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	2026-05-18T02:38:17.780860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c27e80c9babd49883339cfc7708506a48f509922e6858ff6cdc1005bdf2d7b5c

Aliases

arxiv: 1204.0699 · arxiv_version: 1204.0699v3 · doi: 10.48550/arxiv.1204.0699 · pith_short_12: YJ7IBSN2XVEY · pith_short_16: YJ7IBSN2XVEYQMZZ · pith_short_8: YJ7IBSN2

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/YJ7IBSN2XVEYQMZZZ7DXBBIGUS \
  | 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: c27e80c9babd49883339cfc7708506a48f509922e6858ff6cdc1005bdf2d7b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af308e97d434850ead6379c6d8b2d24f0e60bd83824220a0f755e2c5ee5bd7ee",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-04-03T14:29:27Z",
    "title_canon_sha256": "d63ffaebf2512caf2b2de45c6e9182b8d30924ffd9845167563e68afd9fbbd97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0699",
    "kind": "arxiv",
    "version": 3
  }
}