Pith Number

pith:DFKJJ2LD

pith:2017:DFKJJ2LDIY4YXSSE5J2EHDM34F

not attested not anchored not stored refs pending

Moduli spaces of witch curves topologically realize the 2-associahedra

Nathaniel Bottman

arxiv:1712.01194 v2 · 2017-12-04 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFKJJ2LDIY4YXSSE5J2EHDM34F}

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

Orlov and Viterbo functors in partially wrapped Fukaya categories

Receipt and verification

First computed	2026-07-05T00:11:29.711455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195494e96346398bca44ea74438d9be156a51250d89aaa27447ef022c93ab562

Aliases

arxiv: 1712.01194 · arxiv_version: 1712.01194v2 · doi: 10.48550/arxiv.1712.01194 · pith_short_12: DFKJJ2LDIY4Y · pith_short_16: DFKJJ2LDIY4YXSSE · pith_short_8: DFKJJ2LD

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/DFKJJ2LDIY4YXSSE5J2EHDM34F \
  | 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: 195494e96346398bca44ea74438d9be156a51250d89aaa27447ef022c93ab562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc1d37f7963aea9e00abbd0e737e38b5c87927cd913e674c8f4739bfcf252a22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-12-04T16:57:53Z",
    "title_canon_sha256": "e59161dc64f146f09606aa2b86eccc2dfaa4a06130a2c250bfeaede0a0b8062f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01194",
    "kind": "arxiv",
    "version": 2
  }
}