Pith Number

pith:VXQIUHUW

pith:2013:VXQIUHUW3PFHPM3Y7YFWDAJU5T

not attested not anchored not stored refs pending

The surgery exact sequence, K-theory and the signature operator

Paolo Piazza (Universita La Sapienza di Roma), Thomas Schick (Georg-August-Universit\"at G\"ottingen)

arxiv:1309.4370 v2 · 2013-09-17 · math.KT · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXQIUHUW3PFHPM3Y7YFWDAJU5T}

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	2026-05-18T01:22:24.904466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade08a1e96dbca77b378fe0b618134ecc02156a615bfa63a8158e2578b06876c

Aliases

arxiv: 1309.4370 · arxiv_version: 1309.4370v2 · doi: 10.48550/arxiv.1309.4370 · pith_short_12: VXQIUHUW3PFH · pith_short_16: VXQIUHUW3PFHPM3Y · pith_short_8: VXQIUHUW

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/VXQIUHUW3PFHPM3Y7YFWDAJU5T \
  | 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: ade08a1e96dbca77b378fe0b618134ecc02156a615bfa63a8158e2578b06876c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b7b3fa99dc494491e9e2122b9d883795e3e9e1ee1540e7db02f0b3131faf1a8",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-09-17T16:17:30Z",
    "title_canon_sha256": "dded79b3402cbea51435b9c639ec83790672dc2a95896ed155b626d4f362f00f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4370",
    "kind": "arxiv",
    "version": 2
  }
}