Pith Number

pith:72SCVE6Q

pith:2011:72SCVE6Q5ZVP26G6L4PMRVNCSC

not attested not anchored not stored refs pending

Ergodic Optimization of Super-continuous Functions in the Shift

Anthony Quas, Jason Siefken

arxiv:1101.2706 v2 · 2011-01-14 · 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{72SCVE6Q5ZVP26G6L4PMRVNCSC}

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	2026-05-18T02:22:57.651657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea42a93d0ee6afd78de5f1ec8d5a290a48ef6f036d1487f368452ee562893b9

Aliases

arxiv: 1101.2706 · arxiv_version: 1101.2706v2 · doi: 10.48550/arxiv.1101.2706 · pith_short_12: 72SCVE6Q5ZVP · pith_short_16: 72SCVE6Q5ZVP26G6 · pith_short_8: 72SCVE6Q

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/72SCVE6Q5ZVP26G6L4PMRVNCSC \
  | 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: fea42a93d0ee6afd78de5f1ec8d5a290a48ef6f036d1487f368452ee562893b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e373cb515462870e202feb3321df855a58974a9d74ea79728b11865694dada42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-14T01:38:51Z",
    "title_canon_sha256": "e32991b508e225c53226f60821273724a19b386b4bf1329284fe502eccb3393f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2706",
    "kind": "arxiv",
    "version": 2
  }
}