Pith Number

pith:FIR23VBV

pith:2016:FIR23VBVVWPBQQNQ6JNTMQDZIE

not attested not anchored not stored refs pending

A Commentary on Teichm{\"u}ller's paper ``Vollst{\"a}ndige L{\"o}sung einer Extremalaufgabe der quasikonformen Abbildung'' (Complete solution of an extremal problem of the quasiconformal mapping)

Athanase Papadopoulos (IRMA, CUNY), Irma), Vincent Alberge (CUNY

arxiv:1603.05378 v1 · 2016-03-17 · 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{FIR23VBVVWPBQQNQ6JNTMQDZIE}

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	2026-05-18T01:18:56.483985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a23add435ad9e1841b0f25b364079412e63314da1adc607b9619a643c76669f

Aliases

arxiv: 1603.05378 · arxiv_version: 1603.05378v1 · doi: 10.48550/arxiv.1603.05378 · pith_short_12: FIR23VBVVWPB · pith_short_16: FIR23VBVVWPBQQNQ · pith_short_8: FIR23VBV

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/FIR23VBVVWPBQQNQ6JNTMQDZIE \
  | 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: 2a23add435ad9e1841b0f25b364079412e63314da1adc607b9619a643c76669f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6673fe71d8c2df88b780c37e3e2445850be53bece10894b06925d06f2a73e1c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-17T07:38:12Z",
    "title_canon_sha256": "b347027a20bb8ea69a38da98bdf117dca4453dc1bc2963e4810a12ac6d26206e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05378",
    "kind": "arxiv",
    "version": 1
  }
}