Pith Number

pith:BNTOHPI6

pith:2010:BNTOHPI666MSWR6NU5P2VQONBY

not attested not anchored not stored refs pending

Refined Wall-Crossing, Free Fermions and Crystal Melting

Haitao Liu, Jie Yang

arxiv:1010.0348 v2 · 2010-10-02 · hep-th · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNTOHPI666MSWR6NU5P2VQONBY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:23:47.832379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b66e3bd1ef7992b47cda75faac1cd0e17134687efcdf372f1869a48e9ef11aa

Aliases

arxiv: 1010.0348 · arxiv_version: 1010.0348v2 · doi: 10.48550/arxiv.1010.0348 · pith_short_12: BNTOHPI666MS · pith_short_16: BNTOHPI666MSWR6N · pith_short_8: BNTOHPI6

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/BNTOHPI666MSWR6NU5P2VQONBY \
  | 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: 0b66e3bd1ef7992b47cda75faac1cd0e17134687efcdf372f1869a48e9ef11aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c2daeaae2f8f2fa4973687235583dc963b5e019bcaaf10f106f81170dca8bad",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-02T16:15:47Z",
    "title_canon_sha256": "a3e4c2061598b0b18e6fc2b21cc1d27dda149d6204eca73a8cd5d7346b963818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0348",
    "kind": "arxiv",
    "version": 2
  }
}