Pith Number

pith:C5O4C2AD

pith:2026:C5O4C2AD2MU2BGVZOYOIIWL6ES

not attested not anchored not stored refs pending

On a twisted Singer conjecture

Jacopo G. Chen

arxiv:2607.25615 v1 · 2026-07-28 · 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{C5O4C2AD2MU2BGVZOYOIIWL6ES}

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	2026-07-29T01:25:53.262722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175dc16803d329a09ab9761c84597e2492ed6fcf8d2ec109b84dbb3aa6863e9c

Aliases

arxiv: 2607.25615 · arxiv_version: 2607.25615v1 · doi: 10.48550/arxiv.2607.25615 · pith_short_12: C5O4C2AD2MU2 · pith_short_16: C5O4C2AD2MU2BGVZ · pith_short_8: C5O4C2AD

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/C5O4C2AD2MU2BGVZOYOIIWL6ES \
  | 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: 175dc16803d329a09ab9761c84597e2492ed6fcf8d2ec109b84dbb3aa6863e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2068e4113f723b6b20e442d6b75eb3e5870c3bd93fcb0f7df3e05c3ec93e1c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-28T11:45:39Z",
    "title_canon_sha256": "21f9a96670194b4ff6657195f5febd6f14de4db21b7867f04f4ba89b9f1b55d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25615",
    "kind": "arxiv",
    "version": 1
  }
}