Pith Number

pith:UXJ6NEXF

pith:2012:UXJ6NEXFCGAI6AVIUZWVD323JP

not attested not anchored not stored refs pending

Rho-classes, index theory and Stolz' positive scalar curvature sequence

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

arxiv:1210.6892 v3 · 2012-10-25 · 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{UXJ6NEXFCGAI6AVIUZWVD323JP}

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	2026-05-18T01:34:51.293463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d3e692e511808f02a8a66d51ef5b4bc56c20e7a508ffd7334ed52e5cac8659

Aliases

arxiv: 1210.6892 · arxiv_version: 1210.6892v3 · doi: 10.48550/arxiv.1210.6892 · pith_short_12: UXJ6NEXFCGAI · pith_short_16: UXJ6NEXFCGAI6AVI · pith_short_8: UXJ6NEXF

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/UXJ6NEXFCGAI6AVIUZWVD323JP \
  | 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: a5d3e692e511808f02a8a66d51ef5b4bc56c20e7a508ffd7334ed52e5cac8659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b3a722464a7a381fef7e3b9703170a689483bb5767ab5648ad1774413858a23",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-10-25T16:18:32Z",
    "title_canon_sha256": "a2a25b01b896c57a2aec54996520f3d85ac20042711a5addcb91db111717f8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6892",
    "kind": "arxiv",
    "version": 3
  }
}