Pith Number

pith:KAIFMRTV

pith:2011:KAIFMRTV4JLGGAW4DRCGTHLHHU

not attested not anchored not stored refs pending

Donaldson-Thomas Invariants and Flops

John Calabrese

arxiv:1111.1670 v5 · 2011-11-07 · 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{KAIFMRTV4JLGGAW4DRCGTHLHHU}

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	2026-05-18T02:31:27.734613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5010564675e2566302dc1c44699d673d24b537702837e509a342024137dbe117

Aliases

arxiv: 1111.1670 · arxiv_version: 1111.1670v5 · doi: 10.48550/arxiv.1111.1670 · pith_short_12: KAIFMRTV4JLG · pith_short_16: KAIFMRTV4JLGGAW4 · pith_short_8: KAIFMRTV

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/KAIFMRTV4JLGGAW4DRCGTHLHHU \
  | 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: 5010564675e2566302dc1c44699d673d24b537702837e509a342024137dbe117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec019bf8a05093b716d9c62064040c6232381adf0ff80c3f0b5dd4856eb75a04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-07T18:35:05Z",
    "title_canon_sha256": "b2ce1eae8f06020bb00eaec7b3028dda44883669de91b83c098f40fafcc0a044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1670",
    "kind": "arxiv",
    "version": 5
  }
}