Pith Number

pith:PT7KGI7F

pith:2016:PT7KGI7F7F3FSBAPXN2TEG464Q

not attested not anchored not stored refs pending

Meromorphic quadratic differentials with complex residues and spiralling foliations

Michael Wolf, Subhojoy Gupta

arxiv:1607.06931 v1 · 2016-07-23 · math.GT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PT7KGI7F7F3FSBAPXN2TEG464Q}

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	2026-05-18T01:10:35.394003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfea323e5f97659040fbb75321b9ee420caae8a8f660fc8e20e4edf4a96a36a

Aliases

arxiv: 1607.06931 · arxiv_version: 1607.06931v1 · doi: 10.48550/arxiv.1607.06931 · pith_short_12: PT7KGI7F7F3F · pith_short_16: PT7KGI7F7F3FSBAP · pith_short_8: PT7KGI7F

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/PT7KGI7F7F3FSBAPXN2TEG464Q \
  | 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: 7cfea323e5f97659040fbb75321b9ee420caae8a8f660fc8e20e4edf4a96a36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f5940e9e1ebf10ce8abce3b2eedc519b64ee8a23f6e537c498973f633c3fe88",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-23T13:08:56Z",
    "title_canon_sha256": "1b1155b1e88ace62884bfda89026306ae26dabea7e3467e768f6527e590645d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06931",
    "kind": "arxiv",
    "version": 1
  }
}