Pith Number

pith:HIIJGHJF

pith:2014:HIIJGHJFKVWRK367X3FYDO32YX

not attested not anchored not stored refs pending

Quasisymmetric maps of boundaries of amenable hyperbolic groups

Tullia Dymarz

arxiv:1404.5099 v1 · 2014-04-21 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIIJGHJFKVWRK367X3FYDO32YX}

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	2026-05-18T02:53:42.770560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a10931d25556d156fdfbecb81bb7ac5ea2591ccf92950d94789672c58e2f3fa

Aliases

arxiv: 1404.5099 · arxiv_version: 1404.5099v1 · doi: 10.48550/arxiv.1404.5099 · pith_short_12: HIIJGHJFKVWR · pith_short_16: HIIJGHJFKVWRK367 · pith_short_8: HIIJGHJF

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/HIIJGHJFKVWRK367X3FYDO32YX \
  | 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: 3a10931d25556d156fdfbecb81bb7ac5ea2591ccf92950d94789672c58e2f3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e75f3e922e5d0058378fe76204d7b2428786b5d0d09accc125267594af040147",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-04-21T03:23:29Z",
    "title_canon_sha256": "6e176f33944d8b1721884cc5f8a037aa3d1551faf02cf8cfdf8007cac45df6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5099",
    "kind": "arxiv",
    "version": 1
  }
}