Pith Number

pith:HODNPT3P

pith:2026:HODNPT3PB7FOPGVRVTMIPEQRUA

not attested not anchored not stored refs pending

Existence of multi-monopoles on mapping tori

Brad Wilson

arxiv:2605.22574 v1 · 2026-05-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HODNPT3PB7FOPGVRVTMIPEQRUA}

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	2026-05-22T01:04:58.313279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b86d7cf6f0fcae79ab1acd8879211a03164659647486412c006b1868b873661

Aliases

arxiv: 2605.22574 · arxiv_version: 2605.22574v1 · doi: 10.48550/arxiv.2605.22574 · pith_short_12: HODNPT3PB7FO · pith_short_16: HODNPT3PB7FOPGVR · pith_short_8: HODNPT3P

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/HODNPT3PB7FOPGVRVTMIPEQRUA \
  | 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: 3b86d7cf6f0fcae79ab1acd8879211a03164659647486412c006b1868b873661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b98d31a529a97371c711f4502662ed719b8171c3b583e23e9a0746e3d18360",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-21T14:50:36Z",
    "title_canon_sha256": "b64334513807adfc6efb424dd7e440a72f48ee687f53f14e0eb924535732f4b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22574",
    "kind": "arxiv",
    "version": 1
  }
}