Pith Number

pith:KBDONE4X

pith:2018:KBDONE4XYIXX3KSBAR6S347ONY

not attested not anchored not stored refs pending

Ends of Schreier graphs of hyperbolic groups

Audrey Vonseel (UNISTRA, Irma)

arxiv:1802.04602 v1 · 2018-02-13 · 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{KBDONE4XYIXX3KSBAR6S347ONY}

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	2026-05-18T00:07:00.613801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5046e69397c22f7daa41047d2df3ee6e3289e8fd9b5940021bc5b0bddfbd023e

Aliases

arxiv: 1802.04602 · arxiv_version: 1802.04602v1 · doi: 10.48550/arxiv.1802.04602 · pith_short_12: KBDONE4XYIXX · pith_short_16: KBDONE4XYIXX3KSB · pith_short_8: KBDONE4X

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/KBDONE4XYIXX3KSBAR6S347ONY \
  | 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: 5046e69397c22f7daa41047d2df3ee6e3289e8fd9b5940021bc5b0bddfbd023e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f19428aa4e57a7042997d8817b621d909f570d419ab6b245541e40b562a1a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-13T13:08:05Z",
    "title_canon_sha256": "f021a3718b512d122d35fdb05bb671d49560d2febd8ca591f0decfe4011fe314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04602",
    "kind": "arxiv",
    "version": 1
  }
}