Pith Number

pith:ZQ7DUNW4

pith:2015:ZQ7DUNW4DJGEOMQ3SSSPEXZNSR

not attested not anchored not stored refs pending

Stability of equilibria of randomly perturbed maps

Georgi S. Medvedev, Pawel Hitczenko

arxiv:1503.05979 v2 · 2015-03-20 · math.DS · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQ7DUNW4DJGEOMQ3SSSPEXZNSR}

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	2026-05-18T00:44:37.377560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3e3a36dc1a4c47321b94a4f25f2d944b4a6774994cb4e9a06572de40606bcb

Aliases

arxiv: 1503.05979 · arxiv_version: 1503.05979v2 · doi: 10.48550/arxiv.1503.05979 · pith_short_12: ZQ7DUNW4DJGE · pith_short_16: ZQ7DUNW4DJGEOMQ3 · pith_short_8: ZQ7DUNW4

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/ZQ7DUNW4DJGEOMQ3SSSPEXZNSR \
  | 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: cc3e3a36dc1a4c47321b94a4f25f2d944b4a6774994cb4e9a06572de40606bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabbe8edfe1969d0804bb3ade9c1e783de486101ed73d34a34ab60e867b137e6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-20T01:51:04Z",
    "title_canon_sha256": "48e1b1fd62cd5cdea17fc9d9d52ffa4489102a300ca18f3d2bd791191f3ea7be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05979",
    "kind": "arxiv",
    "version": 2
  }
}