Pith Number

pith:G5Z76DTX

pith:2018:G5Z76DTXK7ASA2SYY2NH4OLYVM

not attested not anchored not stored refs pending

Characterization of uniform hyperbolicity for fiber-bunched cocycles

Renato Velozo

arxiv:1807.11335 v1 · 2018-07-30 · 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{G5Z76DTXK7ASA2SYY2NH4OLYVM}

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	2026-05-18T00:09:32.200386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3773ff0e7757c1206a58c69a7e3978ab3e538556d7dc5c8e16d10d614bd0f21b

Aliases

arxiv: 1807.11335 · arxiv_version: 1807.11335v1 · doi: 10.48550/arxiv.1807.11335 · pith_short_12: G5Z76DTXK7AS · pith_short_16: G5Z76DTXK7ASA2SY · pith_short_8: G5Z76DTX

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/G5Z76DTXK7ASA2SYY2NH4OLYVM \
  | 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: 3773ff0e7757c1206a58c69a7e3978ab3e538556d7dc5c8e16d10d614bd0f21b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cd0f2f4a440e57f1b80f2e78abc37d29b64afead91089da8b1e3d0945808fc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-30T13:19:48Z",
    "title_canon_sha256": "f57d9f06808adcc5920883d53e4436991c427561f976e9e70d1288104dec789f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11335",
    "kind": "arxiv",
    "version": 1
  }
}