Pith Number

pith:PLLVVQBX

pith:2014:PLLVVQBX4JXCEQJF4K3KJTVK54

not attested not anchored not stored refs pending

Surjectivity of certain word maps on PSL(2,C) and SL(2,C)

Tatiana Bandman, Yuri G. Zarhin

arxiv:1407.3447 v4 · 2014-07-13 · math.GR · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLLVVQBX4JXCEQJF4K3KJTVK54}

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	2026-05-18T01:37:44.768216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad75ac037e26e224125e2b6a4ceaaef228cdbf8a6684a4c4eaa2115129edba1

Aliases

arxiv: 1407.3447 · arxiv_version: 1407.3447v4 · doi: 10.48550/arxiv.1407.3447 · pith_short_12: PLLVVQBX4JXC · pith_short_16: PLLVVQBX4JXCEQJF · pith_short_8: PLLVVQBX

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/PLLVVQBX4JXCEQJF4K3KJTVK54 \
  | 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: 7ad75ac037e26e224125e2b6a4ceaaef228cdbf8a6684a4c4eaa2115129edba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737a58861b985bf3484394290a8e9e6314104395a7b039b0e1b2212a32e7c33f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-13T09:37:41Z",
    "title_canon_sha256": "125a3539571c86a6dd8d0706e7a27e2d9e78376584c74b1e563d439ce001195f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3447",
    "kind": "arxiv",
    "version": 4
  }
}