Pith Number

pith:J4U4FCNN

pith:2024:J4U4FCNNT7EYVHWY5HVJTHJC2P

not attested not anchored not stored refs pending

$\mathbb Z_2$-Harmonic Spinors and 1-forms on Connected sums and Torus sums of 3-manifolds

Gregory J. Parker, Siqi He

arxiv:2407.10922 v2 · 2024-07-15 · math.DG · math.AP · 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{J4U4FCNNT7EYVHWY5HVJTHJC2P}

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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.

Cited by

1 paper in Pith

Deformation rigidity for Z/2 eigensections

Receipt and verification

First computed	2026-06-09T01:04:37.455981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f29c289ad9fc98a9ed8e9ea999d22d3c392940126ce9f9e4b436aea960a9ec2

Aliases

arxiv: 2407.10922 · arxiv_version: 2407.10922v2 · doi: 10.48550/arxiv.2407.10922 · pith_short_12: J4U4FCNNT7EY · pith_short_16: J4U4FCNNT7EYVHWY · pith_short_8: J4U4FCNN

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/J4U4FCNNT7EYVHWY5HVJTHJC2P \
  | 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: 4f29c289ad9fc98a9ed8e9ea999d22d3c392940126ce9f9e4b436aea960a9ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f54318f0ed1d14cfd672a8edb03429afd34963610100606faded7d4d01871d2",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-07-15T17:22:38Z",
    "title_canon_sha256": "8bb17c5f747fbfa29c15731a71019692c72c3c3db152b39273ef0c06af52e09a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.10922",
    "kind": "arxiv",
    "version": 2
  }
}