Pith Number

pith:XBTLQ62U

pith:2020:XBTLQ62ULCH6PMHHWZ4YF37HWG

not attested not anchored not stored refs pending

Decompositions of moduli spaces of vector bundles and graph potentials

Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay

arxiv:2009.05568 v3 · 2020-09-11 · math.AG · math.GT · math.QA · 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{XBTLQ62ULCH6PMHHWZ4YF37HWG}

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	2026-06-23T03:13:41.934969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b866b87b54588fe7b0e7b67982efe7b1b52d2fab28944407a2d117cab21ade54

Aliases

arxiv: 2009.05568 · arxiv_version: 2009.05568v3 · doi: 10.48550/arxiv.2009.05568 · pith_short_12: XBTLQ62ULCH6 · pith_short_16: XBTLQ62ULCH6PMHH · pith_short_8: XBTLQ62U

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/XBTLQ62ULCH6PMHHWZ4YF37HWG \
  | 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: b866b87b54588fe7b0e7b67982efe7b1b52d2fab28944407a2d117cab21ade54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf2d91ae8ca49acb73f0ed1b4f6995b263c07eb46da92c2e3a03b65d3267b81",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-09-11T17:54:18Z",
    "title_canon_sha256": "a097cdbfe3ba74db9e6f158d0894f05a731c7b0f2a2c111a57f961bbc531a341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.05568",
    "kind": "arxiv",
    "version": 3
  }
}