Pith Number

pith:NIHLQI5T

pith:2017:NIHLQI5TIHPSVXOU2UF7Z66FZC

not attested not anchored not stored refs pending

Injectivity of the quotient Bers embedding of Teichm\"uller spaces

Katsuhiko Matsuzaki

arxiv:1709.00336 v2 · 2017-08-31 · 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{NIHLQI5TIHPSVXOU2UF7Z66FZC}

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	2026-05-17T23:54:56.696406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a0eb823b341df2addd4d50bfcfbc5c8af972d3bffffe4b0ed7b6642f336bef1

Aliases

arxiv: 1709.00336 · arxiv_version: 1709.00336v2 · doi: 10.48550/arxiv.1709.00336 · pith_short_12: NIHLQI5TIHPS · pith_short_16: NIHLQI5TIHPSVXOU · pith_short_8: NIHLQI5T

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/NIHLQI5TIHPSVXOU2UF7Z66FZC \
  | 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: 6a0eb823b341df2addd4d50bfcfbc5c8af972d3bffffe4b0ed7b6642f336bef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203196efdae59fb4b9d8fc4d60359652417af8a13af44f0b300137b0eca2f1b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-08-31T11:36:30Z",
    "title_canon_sha256": "0f46afc28e96f8526fb565522679eb0db78d92bf6028aa2023541bcb67179214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00336",
    "kind": "arxiv",
    "version": 2
  }
}