Pith Number

pith:HFPWMMTD

pith:2024:HFPWMMTDHX6THA4KCG7CFWZFMW

not attested not anchored not stored refs pending

Toward the Universal Mumford form on Sato Grassmannians

Alexander A. Voronov, Katherine A. Maxwell

arxiv:2412.18570 v2 · 2024-12-24 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFPWMMTDHX6THA4KCG7CFWZFMW}

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	2026-07-05T11:19:23.180458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395f6632633dfd33838a11be22db2565b95da8d5221ecbd4ad3a9c3e71b796c5

Aliases

arxiv: 2412.18570 · arxiv_version: 2412.18570v2 · doi: 10.48550/arxiv.2412.18570 · pith_short_12: HFPWMMTDHX6T · pith_short_16: HFPWMMTDHX6THA4K · pith_short_8: HFPWMMTD

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/HFPWMMTDHX6THA4KCG7CFWZFMW \
  | 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: 395f6632633dfd33838a11be22db2565b95da8d5221ecbd4ad3a9c3e71b796c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97b3088205b0ff854cecdd0bda73d222872437c4923dad243cced281374eb930",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-24T17:50:52Z",
    "title_canon_sha256": "1caac6cd5227925e08ae0a093c6448237c86db8c2573d942f181d9f5f7cff5bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18570",
    "kind": "arxiv",
    "version": 2
  }
}