Pith Number

pith:3P4NBLBO

pith:2017:3P4NBLBOII26QDE6L5XGP7BZJW

not attested not anchored not stored refs pending

On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator

David Rojas

arxiv:1712.08756 v3 · 2017-12-23 · 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{3P4NBLBOII26QDE6L5XGP7BZJW}

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	2026-05-18T00:22:39.022207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf8d0ac2e4235e80c9e5f6e67fc394d98ecd3f65bf40f64e98f28e27364b59d

Aliases

arxiv: 1712.08756 · arxiv_version: 1712.08756v3 · doi: 10.48550/arxiv.1712.08756 · pith_short_12: 3P4NBLBOII26 · pith_short_16: 3P4NBLBOII26QDE6 · pith_short_8: 3P4NBLBO

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/3P4NBLBOII26QDE6L5XGP7BZJW \
  | 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: dbf8d0ac2e4235e80c9e5f6e67fc394d98ecd3f65bf40f64e98f28e27364b59d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9018283ac5a843214cb44774c9642352eccaf9d97693bea415e39652893fabb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-23T11:12:43Z",
    "title_canon_sha256": "28b792aa4f02ae71944507125b96b99b7be7bb1e7f15066f69d44934e8fa811f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08756",
    "kind": "arxiv",
    "version": 3
  }
}