Pith Number

pith:B747FGLI

pith:2017:B747FGLIFI2RJX3WY3N7FFJQ6G

not attested not anchored not stored refs pending

Some ergodic properties of metrics on hyperbolic groups

Alex Furman, Uri Bader

arxiv:1707.02020 v2 · 2017-07-07 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B747FGLIFI2RJX3WY3N7FFJQ6G}

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	2026-05-18T00:38:25.322930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff9f299682a3514df76c6dbf29530f18c23b43a010db9a370a68dee1a646479

Aliases

arxiv: 1707.02020 · arxiv_version: 1707.02020v2 · doi: 10.48550/arxiv.1707.02020 · pith_short_12: B747FGLIFI2R · pith_short_16: B747FGLIFI2RJX3W · pith_short_8: B747FGLI

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/B747FGLIFI2RJX3WY3N7FFJQ6G \
  | 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: 0ff9f299682a3514df76c6dbf29530f18c23b43a010db9a370a68dee1a646479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed1dffee5790f050cae1fd39c39f21719f674b0ba6907563b595820cb9c26da1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-07T02:20:27Z",
    "title_canon_sha256": "e7997745bcb4ee0cb34ca57f3bc950fd0feb9c848a375dd60b2b1634e9f04690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02020",
    "kind": "arxiv",
    "version": 2
  }
}