Pith Number

pith:MRLE7MGV

pith:2015:MRLE7MGV2ZZ7UIH65BMH6FZW3K

not attested not anchored not stored refs pending

Green's function and anti-holomorphic dynamics on a torus

Alexandre Eremenko, Walter Bergweiler

arxiv:1507.01704 v3 · 2015-07-07 · math.CV · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRLE7MGV2ZZ7UIH65BMH6FZW3K}

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	2026-05-18T00:26:47.251423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64564fb0d5d673fa20fee8587f1736da93f908e1fc3160e1c7cd1033990d35a5

Aliases

arxiv: 1507.01704 · arxiv_version: 1507.01704v3 · doi: 10.48550/arxiv.1507.01704 · pith_short_12: MRLE7MGV2ZZ7 · pith_short_16: MRLE7MGV2ZZ7UIH6 · pith_short_8: MRLE7MGV

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/MRLE7MGV2ZZ7UIH65BMH6FZW3K \
  | 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: 64564fb0d5d673fa20fee8587f1736da93f908e1fc3160e1c7cd1033990d35a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4376e7f7aa320a9dcc4b9b4c83b54754bbd8ba40abfc8cbd808b9b6b3ca02a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-07-07T08:36:58Z",
    "title_canon_sha256": "f164b4454ccf8cf4d02adac785c652f2570be0dee6c24f9f5e719af02e1a6a3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01704",
    "kind": "arxiv",
    "version": 3
  }
}