Pith Number

pith:7ZGD5ZY2

pith:2026:7ZGD5ZY2IVUSBA4T57VSKB5CW6

not attested not anchored not stored refs pending

Multi-framed real monopole Floer theory

Jiakai Li

arxiv:2606.28596 v1 · 2026-06-26 · 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{7ZGD5ZY2IVUSBA4T57VSKB5CW6}

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	2026-06-30T00:15:20.167604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe4c3ee71a4569208393efeb2507a2b7a2bdeb652bfa12c3ac403f2bd5773516

Aliases

arxiv: 2606.28596 · arxiv_version: 2606.28596v1 · doi: 10.48550/arxiv.2606.28596 · pith_short_12: 7ZGD5ZY2IVUS · pith_short_16: 7ZGD5ZY2IVUSBA4T · pith_short_8: 7ZGD5ZY2

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/7ZGD5ZY2IVUSBA4T57VSKB5CW6 \
  | 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: fe4c3ee71a4569208393efeb2507a2b7a2bdeb652bfa12c3ac403f2bd5773516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b84b4ad002c2534bb29c2ded29bcfeeaa3df1ecb83ab6d9571c15cf2e3737de7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-26T20:43:17Z",
    "title_canon_sha256": "d5f6fdf0b1751849879b2f93369e2e98a0ae80d4a79a1617017dadcacac9030f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28596",
    "kind": "arxiv",
    "version": 1
  }
}