Pith Number

pith:VQZK3CTH

pith:2013:VQZK3CTHECZW7ZQGZVOIJMPJJA

not attested not anchored not stored refs pending

Moduli spaces of stable pairs and non-abelian zeta functions of curves via wall-crossing

Markus Reineke, Sergey Mozgovoy

arxiv:1310.4991 v1 · 2013-10-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQZK3CTHECZW7ZQGZVOIJMPJJA}

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	2026-05-18T03:10:01.634010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac32ad8a6720b36fe606cd5c84b1e948039ece7f53959147f97e5f4795ce0d30

Aliases

arxiv: 1310.4991 · arxiv_version: 1310.4991v1 · doi: 10.48550/arxiv.1310.4991 · pith_short_12: VQZK3CTHECZW · pith_short_16: VQZK3CTHECZW7ZQG · pith_short_8: VQZK3CTH

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/VQZK3CTHECZW7ZQGZVOIJMPJJA \
  | 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: ac32ad8a6720b36fe606cd5c84b1e948039ece7f53959147f97e5f4795ce0d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9075ef9749215616098ead78a09f0927a9da11b9e809fbba55e69a52132c7ab5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-18T12:27:24Z",
    "title_canon_sha256": "278d21327389e52f66522a9350803e1e37d79393a8ce7b23f631023e80e7cb4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4991",
    "kind": "arxiv",
    "version": 1
  }
}