Pith Number

pith:3GVOPJWI

pith:2014:3GVOPJWINGYXT5XDF7NW5GOKHN

not attested not anchored not stored refs pending

Parabolic dynamics and Anisotropic Banach spaces

Carlangelo Liverani, Paolo Giulietti

arxiv:1412.7181 v5 · 2014-12-22 · 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{3GVOPJWINGYXT5XDF7NW5GOKHN}

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	2026-05-18T00:20:27.894399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9aae7a6c869b179f6e32fdb6e99ca3b69a83623c6c58080562fdcf8e7b288ed

Aliases

arxiv: 1412.7181 · arxiv_version: 1412.7181v5 · doi: 10.48550/arxiv.1412.7181 · pith_short_12: 3GVOPJWINGYX · pith_short_16: 3GVOPJWINGYXT5XD · pith_short_8: 3GVOPJWI

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/3GVOPJWINGYXT5XDF7NW5GOKHN \
  | 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: d9aae7a6c869b179f6e32fdb6e99ca3b69a83623c6c58080562fdcf8e7b288ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5bc42d567303e2e6b4f916f0480739643d7bd7a6d9f0beaefa095691457b8ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-22T21:53:12Z",
    "title_canon_sha256": "ba2c9a53b3912c033861912c2657d082e8b2c08bcb91a2231fb4412d1972ec35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7181",
    "kind": "arxiv",
    "version": 5
  }
}