Pith Number

pith:Q7PNXT6Q

pith:2026:Q7PNXT6QWDFGW55G6OV7WMNDML

not attested not anchored not stored refs pending

Spherical Milnor Spaces II: Projective Quotients and Higher Topological Structures

Jean-Pierre Magnot

arxiv:2605.16370 v1 · 2026-05-10 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7PNXT6QWDFGW55G6OV7WMNDML}

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	2026-05-20T00:02:18.784903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87dedbcfd0b0ca6b77a6f3abfb31a362d571486f4868dcaaea7524e5390aea9e

Aliases

arxiv: 2605.16370 · arxiv_version: 2605.16370v1 · doi: 10.48550/arxiv.2605.16370 · pith_short_12: Q7PNXT6QWDFG · pith_short_16: Q7PNXT6QWDFGW55G · pith_short_8: Q7PNXT6Q

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/Q7PNXT6QWDFGW55G6OV7WMNDML \
  | 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: 87dedbcfd0b0ca6b77a6f3abfb31a362d571486f4868dcaaea7524e5390aea9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977d92a2d167e1a191768d767a55b4caaf697721f2caae92dd5566320455187a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-10T11:12:52Z",
    "title_canon_sha256": "ce146e894ba176dc679dede14cef0a144d2cbcd91787c86c77746ac3f3bb0890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16370",
    "kind": "arxiv",
    "version": 1
  }
}