Pith Number

pith:3VFO42OZ

pith:2017:3VFO42OZJKTGTAP2GAXNIP5ZZ7

not attested not anchored not stored refs pending

Quasiconformal mappings, from Ptolemy's geography to the work of Teichm\"uller

Athanase Papadopoulos (MPI, Irma)

arxiv:1702.03756 v1 · 2017-02-13 · math.HO · math.CV · math.DG · 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{3VFO42OZJKTGTAP2GAXNIP5ZZ7}

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	2026-05-18T00:50:53.067688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4aee69d94aa66981fa302ed43fb9cfc9d6893e75b5bfd647c1d80cbfbec97a

Aliases

arxiv: 1702.03756 · arxiv_version: 1702.03756v1 · doi: 10.48550/arxiv.1702.03756 · pith_short_12: 3VFO42OZJKTG · pith_short_16: 3VFO42OZJKTGTAP2 · pith_short_8: 3VFO42OZ

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/3VFO42OZJKTGTAP2GAXNIP5ZZ7 \
  | 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: dd4aee69d94aa66981fa302ed43fb9cfc9d6893e75b5bfd647c1d80cbfbec97a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda68eeb99bdfa48aff92179954e099ad20f9e0552a674335a80863a06ac3792",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-02-13T13:05:07Z",
    "title_canon_sha256": "a36b56a06e0d193947e521f43ce2dff12fbb653d97889e722be7c641ae4ec1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03756",
    "kind": "arxiv",
    "version": 1
  }
}