Pith Number

pith:6R3SY6CP

pith:2011:6R3SY6CPIF5N2O4P4XJXQ5UT2R

not attested not anchored not stored refs pending

Stabilization of heterodimensional cycles

Christian Bonatti, Lorenzo J. Diaz, Shin Kiriki

arxiv:1104.0980 v1 · 2011-04-06 · 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{6R3SY6CPIF5N2O4P4XJXQ5UT2R}

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	2026-05-18T02:02:37.471394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4772c784f417add3b8fe5d3787693d45e1e8090a758db251504735324237e4e

Aliases

arxiv: 1104.0980 · arxiv_version: 1104.0980v1 · doi: 10.48550/arxiv.1104.0980 · pith_short_12: 6R3SY6CPIF5N · pith_short_16: 6R3SY6CPIF5N2O4P · pith_short_8: 6R3SY6CP

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/6R3SY6CPIF5N2O4P4XJXQ5UT2R \
  | 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: f4772c784f417add3b8fe5d3787693d45e1e8090a758db251504735324237e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a018366c91967b2a8cf02b88510780c5228c3890e527871b985a57e2b43adb35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-04-06T00:38:15Z",
    "title_canon_sha256": "416943b8e4d28941acba52092befb84f02970055d06a588c15370c9a1c31ac17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0980",
    "kind": "arxiv",
    "version": 1
  }
}