Pith Number

pith:A64SM36U

pith:2009:A64SM36UEZ6EM2M4HBI2XV2M5N

not attested not anchored not stored refs pending

Wall-crossing, free fermions and crystal melting

Piotr Su{\l}kowski

arxiv:0910.5485 v2 · 2009-10-29 · hep-th · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A64SM36UEZ6EM2M4HBI2XV2M5N}

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	2026-05-18T04:31:50.531193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b9266fd4267c46699c3851abd74ceb53049a46de199e869e2907b49727c2ad

Aliases

arxiv: 0910.5485 · arxiv_version: 0910.5485v2 · doi: 10.48550/arxiv.0910.5485 · pith_short_12: A64SM36UEZ6E · pith_short_16: A64SM36UEZ6EM2M4 · pith_short_8: A64SM36U

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/A64SM36UEZ6EM2M4HBI2XV2M5N \
  | 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: 07b9266fd4267c46699c3851abd74ceb53049a46de199e869e2907b49727c2ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da91e2dc55b73ce0b7cdcf15eab754b48b9a8c3bdbac2ccf5a4784d4d08f7484",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-10-29T17:13:25Z",
    "title_canon_sha256": "061419adf26d363d5567d02b04d4da6efb8e493e8e95e711217dd815bd46726e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5485",
    "kind": "arxiv",
    "version": 2
  }
}