Pith Number

pith:4OJ6SD23

pith:2025:4OJ6SD233WF5U3IXDRFJCPGV3D

not attested not anchored not stored refs pending

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres

Judson Kuhrman

arxiv:2507.03798 v1 · 2025-07-04 · 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{4OJ6SD233WF5U3IXDRFJCPGV3D}

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	2026-07-05T11:32:34.538020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e393e90f5bdd8bda6d171c4a913cd5d8d875096f5b2435f767e74d58620021e3

Aliases

arxiv: 2507.03798 · arxiv_version: 2507.03798v1 · doi: 10.48550/arxiv.2507.03798 · pith_short_12: 4OJ6SD233WF5 · pith_short_16: 4OJ6SD233WF5U3IX · pith_short_8: 4OJ6SD23

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/4OJ6SD233WF5U3IXDRFJCPGV3D \
  | 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: e393e90f5bdd8bda6d171c4a913cd5d8d875096f5b2435f767e74d58620021e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf0493bafee6125ccde824005e6724f5503c70e8f53856b98659a2f60492d9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-04T20:39:56Z",
    "title_canon_sha256": "ff62307e0dbdc2c65db30b6d230ea5ecd652b744f39cd51b8f6676885edf625e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03798",
    "kind": "arxiv",
    "version": 1
  }
}