Pith Number

pith:CSB6IJXB

pith:2015:CSB6IJXBPNF4XRKFSHMYCFYHI5

not attested not anchored not stored refs pending

Local model for the moduli space of affine vortices

Guangbo Xu, Sushmita Venugopalan

arxiv:1512.06713 v2 · 2015-12-21 · 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{CSB6IJXBPNF4XRKFSHMYCFYHI5}

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	2026-05-18T00:54:09.022597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1483e426e17b4bcbc54591d9811707477145e3538849b17f1af21f5af92efb92

Aliases

arxiv: 1512.06713 · arxiv_version: 1512.06713v2 · doi: 10.48550/arxiv.1512.06713 · pith_short_12: CSB6IJXBPNF4 · pith_short_16: CSB6IJXBPNF4XRKF · pith_short_8: CSB6IJXB

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/CSB6IJXBPNF4XRKFSHMYCFYHI5 \
  | 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: 1483e426e17b4bcbc54591d9811707477145e3538849b17f1af21f5af92efb92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4699c2873a0c70b69162981e2b8d6544bb34a104a5752eb779cee0e204838bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-12-21T17:16:06Z",
    "title_canon_sha256": "f483c17fe925167ac318b5272ecc5e194817fb6ad05d0a5236a218ba5b04cb29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06713",
    "kind": "arxiv",
    "version": 2
  }
}