Pith Number

pith:6GZBM4HM

pith:2012:6GZBM4HMJQMYZP7RDUCLW7JUMK

not attested not anchored not stored refs pending

Characterizations of dominated splitting system and its relation to hyperbolicity

Chun Fang, Mats Gyllenberg, Shitao Liu

arxiv:1209.5595 v1 · 2012-09-25 · 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{6GZBM4HMJQMYZP7RDUCLW7JUMK}

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	2026-05-18T03:44:48.049370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b21670ec4c198cbff11d04bb7d3462a15a55e99d50e0bf9235787c0326dffe

Aliases

arxiv: 1209.5595 · arxiv_version: 1209.5595v1 · doi: 10.48550/arxiv.1209.5595 · pith_short_12: 6GZBM4HMJQMY · pith_short_16: 6GZBM4HMJQMYZP7R · pith_short_8: 6GZBM4HM

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/6GZBM4HMJQMYZP7RDUCLW7JUMK \
  | 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: f1b21670ec4c198cbff11d04bb7d3462a15a55e99d50e0bf9235787c0326dffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3beaf505d05cdf2083d474518e7a4fdafb395af76d54dc70ac1c18dd97238b76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-25T13:03:47Z",
    "title_canon_sha256": "68ca36bcdc6b01bff2b1b6820b4b40f952634b6acd0a655b2be532f67e112d93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5595",
    "kind": "arxiv",
    "version": 1
  }
}