Pith Number

pith:6AAYAPBK

pith:2012:6AAYAPBKA2JQ6FPXKBIYMYZQAP

not attested not anchored not stored refs pending

The Gromoll filtration, KO-characteristic classes and metrics of positive scalar curvature

Bonn), Diarmuid Crowley (Max-Planck-Institute for Mathematics, Thomas Schick (Georg-August-Universit\"at G\"ottingen)

arxiv:1204.6474 v4 · 2012-04-29 · math.GT · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AAYAPBKA2JQ6FPXKBIYMYZQAP}

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	2026-05-18T02:38:17.764930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f001803c2a06930f15f7505186633003d2e0f56954d17d74a15b9c39b6fc2c59

Aliases

arxiv: 1204.6474 · arxiv_version: 1204.6474v4 · doi: 10.48550/arxiv.1204.6474 · pith_short_12: 6AAYAPBKA2JQ · pith_short_16: 6AAYAPBKA2JQ6FPX · pith_short_8: 6AAYAPBK

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/6AAYAPBKA2JQ6FPXKBIYMYZQAP \
  | 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: f001803c2a06930f15f7505186633003d2e0f56954d17d74a15b9c39b6fc2c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de4540c7575cb8f6eca299ea82b3798b772881119d4698c647fd9e730c6aa265",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-29T12:53:52Z",
    "title_canon_sha256": "c8a02996e7e7465fce0be7bf722b041a49c9c30b36961523252ec843cde2daa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6474",
    "kind": "arxiv",
    "version": 4
  }
}