Pith Number

pith:3QF2HPJI

pith:2020:3QF2HPJIQUGHR77KNOU2KK5TPN

not attested not anchored not stored refs pending

Existence of an energy function for 3-dimensional chaotic "sink-source" cascades

B. Yu, M. Barinova, O. Pochinka, V. Grines

arxiv:2009.10457 v2 · 2020-09-22 · 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{3QF2HPJIQUGHR77KNOU2KK5TPN}

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	2026-07-05T02:52:57.807548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc0ba3bd28850c78ffea6ba9a52bb37b62a58c3c76e7b71aa1a96206a6d3d90f

Aliases

arxiv: 2009.10457 · arxiv_version: 2009.10457v2 · doi: 10.48550/arxiv.2009.10457 · pith_short_12: 3QF2HPJIQUGH · pith_short_16: 3QF2HPJIQUGHR77K · pith_short_8: 3QF2HPJI

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/3QF2HPJIQUGHR77KNOU2KK5TPN \
  | 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: dc0ba3bd28850c78ffea6ba9a52bb37b62a58c3c76e7b71aa1a96206a6d3d90f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04bc4ecc7d13176f4db375ed9191d47c811eb98648174abeb157729a1527cb72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-09-22T11:29:45Z",
    "title_canon_sha256": "840da06369731ae35e8ed4bd21a737c9287d0a378bdf400f1752cb23e45e6944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.10457",
    "kind": "arxiv",
    "version": 2
  }
}