Pith Number

pith:CR6ITKK7

pith:2015:CR6ITKK7USFIRXQFITH4CPIIP4

not attested not anchored not stored refs pending

A commentary on Teichm\"uller's paper "Extremale quasikonforme Abbildungen und quadratische Differentiale"

Athanase Papadopoulos (IRMA), Vincent Alberge (IRMA), Weixu Su

arxiv:1511.01313 v1 · 2015-11-04 · 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{CR6ITKK7USFIRXQFITH4CPIIP4}

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	2026-05-18T01:27:47.492607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147c89a95fa48a88de0544cfc13d087f19aa8a0464784d006ee57b8d87fcf464

Aliases

arxiv: 1511.01313 · arxiv_version: 1511.01313v1 · doi: 10.48550/arxiv.1511.01313 · pith_short_12: CR6ITKK7USFI · pith_short_16: CR6ITKK7USFIRXQF · pith_short_8: CR6ITKK7

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/CR6ITKK7USFIRXQFITH4CPIIP4 \
  | 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: 147c89a95fa48a88de0544cfc13d087f19aa8a0464784d006ee57b8d87fcf464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd0de26a7c3bef8cfd36b2f7196dc4c8c874efa4b64079ee8a9086ec4eafbc02",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-04T12:54:43Z",
    "title_canon_sha256": "b47964c6f2738db15a8ae7f58d85e3a976f9bd3e815cccd125320244b80b0c99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01313",
    "kind": "arxiv",
    "version": 1
  }
}