Pith Number

pith:M6EIVJMF

pith:2016:M6EIVJMF5BKOGY4XPB2U7JJWZE

not attested not anchored not stored refs pending

Measuring cones and other thick subsets in free groups

Elizaveta Frenkel, Vladimir N. Remeslennikov

arxiv:1603.03002 v1 · 2016-03-09 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6EIVJMF5BKOGY4XPB2U7JJWZE}

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	2026-05-18T01:19:19.383863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67888aa585e854e3639778754fa536c93a1e7dadc62991540a64fdc8ec136e24

Aliases

arxiv: 1603.03002 · arxiv_version: 1603.03002v1 · doi: 10.48550/arxiv.1603.03002 · pith_short_12: M6EIVJMF5BKO · pith_short_16: M6EIVJMF5BKOGY4X · pith_short_8: M6EIVJMF

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/M6EIVJMF5BKOGY4XPB2U7JJWZE \
  | 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: 67888aa585e854e3639778754fa536c93a1e7dadc62991540a64fdc8ec136e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560fa81ab8cb548e9ff2b8242f2febb97036c606e5fcc20f3031cff1ced92c6e",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-09T19:06:28Z",
    "title_canon_sha256": "1ce84efd3a535a64ba884c3edf61febab94f5e0a1e88c6f4e3b0975c7738d9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03002",
    "kind": "arxiv",
    "version": 1
  }
}