Pith Number

pith:KYL7EAVC

pith:2006:KYL7EAVCSHZQHL6FWENEYC2OOJ

not attested not anchored not stored refs pending

On the wgsc and qsf tameness conditions for finitely presented groups

Daniele Ettore Otera, Louis Funar

arxiv:math/0610936 v4 · 2006-10-30 · 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{KYL7EAVCSHZQHL6FWENEYC2OOJ}

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	2026-05-18T04:32:09.869854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5617f202a291f303afc5b11a4c0b4e725e2c40f6604456fe413a967d9f8bb494

Aliases

arxiv: math/0610936 · arxiv_version: math/0610936v4 · doi: 10.48550/arxiv.math/0610936 · pith_short_12: KYL7EAVCSHZQ · pith_short_16: KYL7EAVCSHZQHL6F · pith_short_8: KYL7EAVC

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/KYL7EAVCSHZQHL6FWENEYC2OOJ \
  | 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: 5617f202a291f303afc5b11a4c0b4e725e2c40f6604456fe413a967d9f8bb494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfec64bba7605b4c9705f3bb7715272f4f63788c05ad64229be9223d8748076f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2006-10-30T15:45:24Z",
    "title_canon_sha256": "da25ca1096f0e1f32c98c8eb21904d23e4abd320ca4ed930ceca54127808e545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610936",
    "kind": "arxiv",
    "version": 4
  }
}