Pith Number

pith:LGIM4SRC

pith:2010:LGIM4SRCXDCHWQMD62BBZJL5ZT

not attested not anchored not stored refs pending

Triangle groups, automorphic forms, and torus knots

Valdemar V. Tsanov

arxiv:1011.0461 v4 · 2010-11-01 · math.GT · math.AG · 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{LGIM4SRCXDCHWQMD62BBZJL5ZT}

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	2026-05-18T03:15:03.719869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5990ce4a22b8c47b4183f6821ca57dcce2c3d943d97bb7452c729c58c448dd1f

Aliases

arxiv: 1011.0461 · arxiv_version: 1011.0461v4 · doi: 10.48550/arxiv.1011.0461 · pith_short_12: LGIM4SRCXDCH · pith_short_16: LGIM4SRCXDCHWQMD · pith_short_8: LGIM4SRC

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/LGIM4SRCXDCHWQMD62BBZJL5ZT \
  | 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: 5990ce4a22b8c47b4183f6821ca57dcce2c3d943d97bb7452c729c58c448dd1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9317c231669d0886a6da60705c197afe8f37e591abf9dbde55493f698354d70a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-01T22:23:38Z",
    "title_canon_sha256": "38d8f61be9d80aa27fe29d0f8f65e89edcee7c65968b106d0e83405c98a0fcc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0461",
    "kind": "arxiv",
    "version": 4
  }
}