Pith Number

pith:MN23BX2V

pith:2016:MN23BX2VILXSI4XHPAC55BSQ5F

not attested not anchored not stored refs pending

Reduced Donaldson-Thomas invariants and the ring of dual numbers

Georg Oberdieck, Junliang Shen

arxiv:1612.03102 v1 · 2016-12-09 · 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{MN23BX2VILXSI4XHPAC55BSQ5F}

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	2026-05-18T00:08:11.500654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6375b0df5542ef2472e77805de8650e94cb9c79647ab717f736c419fa96c677d

Aliases

arxiv: 1612.03102 · arxiv_version: 1612.03102v1 · doi: 10.48550/arxiv.1612.03102 · pith_short_12: MN23BX2VILXS · pith_short_16: MN23BX2VILXSI4XH · pith_short_8: MN23BX2V

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/MN23BX2VILXSI4XHPAC55BSQ5F \
  | 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: 6375b0df5542ef2472e77805de8650e94cb9c79647ab717f736c419fa96c677d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd92083d52cfa774229b5ee236a25aa6c9ae12bab87221806668211f16057e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-09T17:42:55Z",
    "title_canon_sha256": "cb0051949a18a0af0d1b80cae1ca3129450d16c02b0a7104028f2934cb3c2f23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03102",
    "kind": "arxiv",
    "version": 1
  }
}