Pith Number

pith:3MKEDVML

pith:2020:3MKEDVML6Z62HLDKTVLU4VK23K

not attested not anchored not stored refs pending

Gaps of saddle connection directions for some branched covers of tori

Anthony Sanchez

arxiv:2004.04182 v2 · 2020-04-08 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MKEDVML6Z62HLDKTVLU4VK23K}

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	2026-07-05T01:13:59.645099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1441d58bf67da3ac6a9d574e555adab15459da86958046447078c70a0d5157

Aliases

arxiv: 2004.04182 · arxiv_version: 2004.04182v2 · doi: 10.48550/arxiv.2004.04182 · pith_short_12: 3MKEDVML6Z62 · pith_short_16: 3MKEDVML6Z62HLDK · pith_short_8: 3MKEDVML

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/3MKEDVML6Z62HLDKTVLU4VK23K \
  | 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: db1441d58bf67da3ac6a9d574e555adab15459da86958046447078c70a0d5157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abeb5a9b110019f03d25cb3d984fdd3b65d434193ec9a1375b6e6f0913ebb07b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-04-08T18:01:10Z",
    "title_canon_sha256": "9b7526caded93a5c6c2d23261b7f616c2e0146e162ff16d7794038d48d8bf59c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.04182",
    "kind": "arxiv",
    "version": 2
  }
}