Pith Number

pith:DOBOOIW4

pith:2015:DOBOOIW4KJBOTQI4O374PP5OEV

not attested not anchored not stored refs pending

A Commentary on Teichm{\"u}ller's paper ``Bestimmung der extremalen quasikonformen Abbildungen bei geschlossenen orientierten Riemannschen Fl{\"a}chen''

Annette A'Campo-Neuen, Athanase Papadopoulos (IRMA), Norbert A'Campo, Vincent Alberge (IRMA)

arxiv:1510.02609 v1 · 2015-10-09 · 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{DOBOOIW4KJBOTQI4O374PP5OEV}

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	2026-05-18T01:30:41.925388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b82e722dc5242e9c11c76ffc7bfae2551d173982282f7ab093113ff4a276dae

Aliases

arxiv: 1510.02609 · arxiv_version: 1510.02609v1 · doi: 10.48550/arxiv.1510.02609 · pith_short_12: DOBOOIW4KJBO · pith_short_16: DOBOOIW4KJBOTQI4 · pith_short_8: DOBOOIW4

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/DOBOOIW4KJBOTQI4O374PP5OEV \
  | 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: 1b82e722dc5242e9c11c76ffc7bfae2551d173982282f7ab093113ff4a276dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f6ebdef95d908750ce78afc4d0f1e45f2a0c00c853fee3a7d64b5dbcca1cc0d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-09T09:58:31Z",
    "title_canon_sha256": "da4d2b3e4d4ac54e406510bcfe14911e6aacdcd2c988f32e987cc19ac4699395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02609",
    "kind": "arxiv",
    "version": 1
  }
}