Pith Number

pith:MTBTARF5

pith:2013:MTBTARF5MGTIJIMV7CR43QE52P

not attested not anchored not stored refs pending

Dynamical systems and categories

Fabian Haiden, George Dimitrov, Ludmil Katzarkov, Maxim Kontsevich

arxiv:1307.8418 v1 · 2013-07-31 · math.CT · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTBTARF5MGTIJIMV7CR43QE52P}

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.

Cited by

1 paper in Pith

Advancements in Functorial Homological Mirror Symmetry

Receipt and verification

First computed	2026-07-05T05:13:26.139184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c33044bd61a684a195f8a3cdc09dd3fccc1d7c57baf68c8a1caeecabd1ac59

Aliases

arxiv: 1307.8418 · arxiv_version: 1307.8418v1 · doi: 10.48550/arxiv.1307.8418 · pith_short_12: MTBTARF5MGTI · pith_short_16: MTBTARF5MGTIJIMV · pith_short_8: MTBTARF5

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/MTBTARF5MGTIJIMV7CR43QE52P \
  | 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: 64c33044bd61a684a195f8a3cdc09dd3fccc1d7c57baf68c8a1caeecabd1ac59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b1721a0b1609409333e0d40197b59b65e5780d51461c63765ca186c44cdaae",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-07-31T18:44:41Z",
    "title_canon_sha256": "7f73201f7e692020e8127f4ec36d723ef007e854d03e1913592419dfc936fcf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8418",
    "kind": "arxiv",
    "version": 1
  }
}