Pith Number

pith:XYFGONRN

pith:2015:XYFGONRNCE2IL3TJB3VG64UUKF

not attested not anchored not stored refs pending

Value Ranges of Univalent Self-Mappings of the Unit Disc

Julia Koch, Sebastian Schleissinger

arxiv:1508.04659 v2 · 2015-08-19 · 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{XYFGONRNCE2IL3TJB3VG64UUKF}

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	2026-05-18T01:32:50.132394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be0a67362d113485ee690eea6f72945163a3817df13c1a7e4d83874c2b683546

Aliases

arxiv: 1508.04659 · arxiv_version: 1508.04659v2 · doi: 10.48550/arxiv.1508.04659 · pith_short_12: XYFGONRNCE2I · pith_short_16: XYFGONRNCE2IL3TJ · pith_short_8: XYFGONRN

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/XYFGONRNCE2IL3TJB3VG64UUKF \
  | 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: be0a67362d113485ee690eea6f72945163a3817df13c1a7e4d83874c2b683546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b29584714e15b41f8d193d64623a8160a8c691f02d61202b8a81a4bf51a616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-08-19T14:35:15Z",
    "title_canon_sha256": "6541260b3308f3a73a69aa4b43f487b20d323fa28330d4424eeed53bb1584160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04659",
    "kind": "arxiv",
    "version": 2
  }
}