Pith Number

pith:23SWCJUH

pith:2011:23SWCJUHJRSQAM4N3YHVY7HI7E

not attested not anchored not stored refs pending

Non-uniqueness results for critical metrics of regularized determinants in four dimensions

Andrea Malchiodi, Matthew Gursky

arxiv:1105.3762 v3 · 2011-05-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23SWCJUHJRSQAM4N3YHVY7HI7E}

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	2026-05-18T02:01:56.298564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e56126874c6500338dde0f5c7ce8f90ff030e8cb152fef6930d7b6a07b37c0

Aliases

arxiv: 1105.3762 · arxiv_version: 1105.3762v3 · doi: 10.48550/arxiv.1105.3762 · pith_short_12: 23SWCJUHJRSQ · pith_short_16: 23SWCJUHJRSQAM4N · pith_short_8: 23SWCJUH

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/23SWCJUHJRSQAM4N3YHVY7HI7E \
  | 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: d6e56126874c6500338dde0f5c7ce8f90ff030e8cb152fef6930d7b6a07b37c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82db55b0e7abb17ba261d4495a190097fb74ff0d524a52143c41cab36ef5f5e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-18T23:03:26Z",
    "title_canon_sha256": "42d0cc1b5cfac743a09c54c3307bdbf88a05dcc68556b5a4e01a48f999c59df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3762",
    "kind": "arxiv",
    "version": 3
  }
}