Pith Number

pith:OGTS4UOC

pith:2011:OGTS4UOCOH7WWJIZXLLWDZGZFI

not attested not anchored not stored refs pending

A dichotomy theorem for minimizers of monotone recurrence relations

Blaz Mramor, Bob Rink

arxiv:1111.5970 v2 · 2011-11-25 · 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{OGTS4UOCOH7WWJIZXLLWDZGZFI}

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	2026-05-17T23:53:19.118086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71a72e51c271ff6b2519bad761e4d92a2e149d0c0b25dbcfa586f3e378083b05

Aliases

arxiv: 1111.5970 · arxiv_version: 1111.5970v2 · doi: 10.48550/arxiv.1111.5970 · pith_short_12: OGTS4UOCOH7W · pith_short_16: OGTS4UOCOH7WWJIZ · pith_short_8: OGTS4UOC

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/OGTS4UOCOH7WWJIZXLLWDZGZFI \
  | 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: 71a72e51c271ff6b2519bad761e4d92a2e149d0c0b25dbcfa586f3e378083b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78be4172a471775d3345df9539cd937e90c24feaa0b40b4eac4fd0bd90aae2c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-25T12:43:56Z",
    "title_canon_sha256": "6d13734ee0a7fe0a510bc6234011c150eebaabdb8e0e65d3d03fd82ac4be32aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5970",
    "kind": "arxiv",
    "version": 2
  }
}