Pith Number

pith:IIEZYFXT

pith:2011:IIEZYFXTUCUBVEY6TSLVDOJR5D

not attested not anchored not stored refs pending

Parametrization of PSL(2,C)-representations of surface groups

Yuichi Kabaya

arxiv:1110.6674 v2 · 2011-10-31 · 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{IIEZYFXTUCUBVEY6TSLVDOJR5D}

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	2026-05-18T03:26:39.654545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42099c16f3a0a81a931e9c9751b931e8cdc18fb5ee742a27467d9dcc0f33e83a

Aliases

arxiv: 1110.6674 · arxiv_version: 1110.6674v2 · doi: 10.48550/arxiv.1110.6674 · pith_short_12: IIEZYFXTUCUB · pith_short_16: IIEZYFXTUCUBVEY6 · pith_short_8: IIEZYFXT

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/IIEZYFXTUCUBVEY6TSLVDOJR5D \
  | 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: 42099c16f3a0a81a931e9c9751b931e8cdc18fb5ee742a27467d9dcc0f33e83a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e458271710126ce20559ca4f2995ef9fbe318a82a9dc348a579ce2e9d47746e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-31T01:17:12Z",
    "title_canon_sha256": "ec7f2bdc9689ef1d35dbfc4cea83c281dd41f31f18fa1000e0e81ba29457ea6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6674",
    "kind": "arxiv",
    "version": 2
  }
}