Pith Number

pith:MZFHW3SQ

pith:2026:MZFHW3SQOZIOXCMLCDUOAIC3HI

not attested not anchored not stored refs pending

Virtual Jeffrey--Kirwan localisation

Riccardo Ontani, Richard P. Thomas

arxiv:2607.05575 v1 · 2026-07-06 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZFHW3SQOZIOXCMLCDUOAIC3HI}

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	2026-07-08T01:18:37.622250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664a7b6e507650eb898b10e8e0205b3a325285c7d4373dec4a9549de9823a2e9

Aliases

arxiv: 2607.05575 · arxiv_version: 2607.05575v1 · doi: 10.48550/arxiv.2607.05575 · pith_short_12: MZFHW3SQOZIO · pith_short_16: MZFHW3SQOZIOXCML · pith_short_8: MZFHW3SQ

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/MZFHW3SQOZIOXCMLCDUOAIC3HI \
  | 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: 664a7b6e507650eb898b10e8e0205b3a325285c7d4373dec4a9549de9823a2e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fd5a94b452e1e964b10b741c9d8858e80e4ca34c953fb0eb0a95cd2dd644d24",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-06T19:17:56Z",
    "title_canon_sha256": "36bd88068b0691c60b9c7ca5eb50199e75f42c88ed251508dbda3b93a5116abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05575",
    "kind": "arxiv",
    "version": 1
  }
}