Pith Number

pith:UCJ6DECB

pith:2016:UCJ6DECBBL6RY3ICTUQZCMD5A3

not attested not anchored not stored refs pending

Representation varieties detect essential surfaces

Matthias Nagel, Stefan Friedl, Takahiro Kitayama

arxiv:1604.00584 v1 · 2016-04-03 · 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{UCJ6DECBBL6RY3ICTUQZCMD5A3}

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	2026-05-18T01:17:49.022066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a093e190410afd1c6d029d2191307d06e11078be4a87a6bd9d4da8b9fa4b1b23

Aliases

arxiv: 1604.00584 · arxiv_version: 1604.00584v1 · doi: 10.48550/arxiv.1604.00584 · pith_short_12: UCJ6DECBBL6R · pith_short_16: UCJ6DECBBL6RY3IC · pith_short_8: UCJ6DECB

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/UCJ6DECBBL6RY3ICTUQZCMD5A3 \
  | 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: a093e190410afd1c6d029d2191307d06e11078be4a87a6bd9d4da8b9fa4b1b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2019607d4ddce61f55050e5a48709c45ca9a7af37218bd43b934db356df30315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-03T02:15:22Z",
    "title_canon_sha256": "161f92a10cfb8724845c595e258cc95a9536780d7e050a5f9225a0fe0d93359c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00584",
    "kind": "arxiv",
    "version": 1
  }
}