Pith Number

pith:TQZOWIH7

pith:2015:TQZOWIH77KR67IAFUP5URQOW5L

not attested not anchored not stored refs pending

Invariance principle for local time by quasi-compactness

Michael Bromberg

arxiv:1511.01746 v3 · 2015-11-05 · 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{TQZOWIH77KR67IAFUP5URQOW5L}

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	2026-05-18T01:26:17.605632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c32eb20fffaa3efa005a3fb48c1d6eaedf04cbce963661a62c11f7002042987

Aliases

arxiv: 1511.01746 · arxiv_version: 1511.01746v3 · doi: 10.48550/arxiv.1511.01746 · pith_short_12: TQZOWIH77KR6 · pith_short_16: TQZOWIH77KR67IAF · pith_short_8: TQZOWIH7

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/TQZOWIH77KR67IAFUP5URQOW5L \
  | 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: 9c32eb20fffaa3efa005a3fb48c1d6eaedf04cbce963661a62c11f7002042987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cdbff48f833f3576fce8ac8a918ed97ca4034626344bfd5acdccf0ce6579678",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-05T14:02:57Z",
    "title_canon_sha256": "d38919b844dfeab6dac899da5eedb788dd3bd2d85221dc5a6c352f5da1e65b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01746",
    "kind": "arxiv",
    "version": 3
  }
}