Pith Number

pith:FBNGQFF3

pith:2009:FBNGQFF3CX3SZYBSYPI7XJOWMF

not attested not anchored not stored refs pending

A wall crossing formula of Donaldson-Thomas invariants without Chern-Simons functional

Jun Li, Young-Hoon Kiem

arxiv:0905.4770 v2 · 2009-05-29 · 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{FBNGQFF3CX3SZYBSYPI7XJOWMF}

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	2026-05-18T04:42:33.748153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285a6814bb15f72ce032c3d1fba5d6617ce0d3aefb93296ad50e84ffa1ee0c97

Aliases

arxiv: 0905.4770 · arxiv_version: 0905.4770v2 · doi: 10.48550/arxiv.0905.4770 · pith_short_12: FBNGQFF3CX3S · pith_short_16: FBNGQFF3CX3SZYBS · pith_short_8: FBNGQFF3

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/FBNGQFF3CX3SZYBSYPI7XJOWMF \
  | 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: 285a6814bb15f72ce032c3d1fba5d6617ce0d3aefb93296ad50e84ffa1ee0c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2815e24deef288f6a4bec6d5d88a254bfbf50d7294582a19c9755debdc34d06c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-29T01:39:49Z",
    "title_canon_sha256": "f0fbb42fc17698d25eeeb526edec9261f7380659f9ce47e7277f37b723e730e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4770",
    "kind": "arxiv",
    "version": 2
  }
}