Pith Number

pith:3B4XFRZ4

pith:2014:3B4XFRZ446TVUIZOTQXEJW6U5R

not attested not anchored not stored refs pending

Existence of invariant tori in three dimensional maps with degeneracy

Igor Mezic, Umesh Vaidya

arxiv:1408.7011 v1 · 2014-08-29 · 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{3B4XFRZ446TVUIZOTQXEJW6U5R}

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	2026-05-18T02:43:59.827890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87972c73ce7a75a232e9c2e44dbd4ec5bb83ab648a8e34ddebb54927cc4d260

Aliases

arxiv: 1408.7011 · arxiv_version: 1408.7011v1 · doi: 10.48550/arxiv.1408.7011 · pith_short_12: 3B4XFRZ446TV · pith_short_16: 3B4XFRZ446TVUIZO · pith_short_8: 3B4XFRZ4

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/3B4XFRZ446TVUIZOTQXEJW6U5R \
  | 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: d87972c73ce7a75a232e9c2e44dbd4ec5bb83ab648a8e34ddebb54927cc4d260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c2f267f2a8d8b2364a2c871a83808e2144b9e00297dc39e4fe7ea4a01a2b2c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-29T13:18:16Z",
    "title_canon_sha256": "942bb2bae002117dffa55ff783ac11c715c61192672b8e30b564a83132b97a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.7011",
    "kind": "arxiv",
    "version": 1
  }
}