Pith Number

pith:R6Y3V3LM

pith:2015:R6Y3V3LMQLTKTGTJVXAQWSF3AM

not attested not anchored not stored refs pending

Quotients of surface groups and homology of finite covers via quantum representations

Ramanujan Santharoubane, Thomas Koberda

arxiv:1510.00677 v2 · 2015-10-02 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6Y3V3LMQLTKTGTJVXAQWSF3AM}

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	2026-05-18T00:54:20.740189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb1baed6c82e6a99a69adc10b48bb031028c30fc0d1d533cb6dac554514f4a9

Aliases

arxiv: 1510.00677 · arxiv_version: 1510.00677v2 · doi: 10.48550/arxiv.1510.00677 · pith_short_12: R6Y3V3LMQLTK · pith_short_16: R6Y3V3LMQLTKTGTJ · pith_short_8: R6Y3V3LM

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/R6Y3V3LMQLTKTGTJVXAQWSF3AM \
  | 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: 8fb1baed6c82e6a99a69adc10b48bb031028c30fc0d1d533cb6dac554514f4a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94005ce10f666f48f4078c856dfa441945f428640fff3674f3dcfa6f7b34f2fa",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-02T18:32:59Z",
    "title_canon_sha256": "2cc81d2215861e5248caa55c049fc5c417cc1fc18252367c7665fba77fe76181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00677",
    "kind": "arxiv",
    "version": 2
  }
}