Pith Number

pith:2Z2FOBP7

pith:2010:2Z2FOBP7JKBH5R26PMPG53ZUKF

not attested not anchored not stored refs pending

Matrix Model and Refined Wall-Crossing Formula

Haitao Liu, Jian Zhao, Jie Yang

arxiv:1011.0947 v2 · 2010-11-03 · 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{2Z2FOBP7JKBH5R26PMPG53ZUKF}

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	2026-05-18T04:37:09.802810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6745705ff4a827ec75e7b1e6eef34515821804e998cf7834ff33c51410b4ca1

Aliases

arxiv: 1011.0947 · arxiv_version: 1011.0947v2 · doi: 10.48550/arxiv.1011.0947 · pith_short_12: 2Z2FOBP7JKBH · pith_short_16: 2Z2FOBP7JKBH5R26 · pith_short_8: 2Z2FOBP7

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/2Z2FOBP7JKBH5R26PMPG53ZUKF \
  | 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: d6745705ff4a827ec75e7b1e6eef34515821804e998cf7834ff33c51410b4ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cda6bb246a8c8cc456edbf6845c85dced59ae13b770c0efbdd15e8b7a15c1a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-03T17:21:56Z",
    "title_canon_sha256": "3b4708e8665c6a22f4b685d59f2d6fab2e9b308b31a6bdee08161987ac292e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0947",
    "kind": "arxiv",
    "version": 2
  }
}