Pith Number

pith:LM3R5P3Z

pith:2016:LM3R5P3ZLFXU6YZMQJNKXA4M2P

not attested not anchored not stored refs pending

Asymptotics of quantum representations of surface groups

Julien March\'e, Ramanujan Santharoubane

arxiv:1607.00664 v1 · 2016-07-03 · 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{LM3R5P3ZLFXU6YZMQJNKXA4M2P}

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	2026-05-18T01:11:34.507502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b371ebf79596f4f632c825aab838cd3c241dd6a891eb1b981e8aff81af6bdf3

Aliases

arxiv: 1607.00664 · arxiv_version: 1607.00664v1 · doi: 10.48550/arxiv.1607.00664 · pith_short_12: LM3R5P3ZLFXU · pith_short_16: LM3R5P3ZLFXU6YZM · pith_short_8: LM3R5P3Z

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/LM3R5P3ZLFXU6YZMQJNKXA4M2P \
  | 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: 5b371ebf79596f4f632c825aab838cd3c241dd6a891eb1b981e8aff81af6bdf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c639656313ccf7c0f556b7abe0d23379640b0cf4fdf58f616da0f792b807062a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-03T18:14:05Z",
    "title_canon_sha256": "21c2a173b99eeedfa035d83d8c02ea6d0a1a3fe22a054bd6d159fd4259c866ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00664",
    "kind": "arxiv",
    "version": 1
  }
}